Basic Math Examples

600 + 0.75 (y - 480) + (400 - 3000 \cdot 0.04 + 0.25 y) + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 (y - 480) + (400 - 3000 \cdot 0.04 + 0.25 y) + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)$

Step 1

Remove parentheses.

600 + 0.75 (y - 480) + 400 - 3000 \cdot 0.04 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 (y - 480) + 400 - 3000 \cdot 0.04 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

600 + 0.75 y + 0.75 \cdot - 480 + 400 - 3000 \cdot 0.04 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y + 0.75 \cdot - 480 + 400 - 3000 \cdot 0.04 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)$

Step 2.2

Multiply

0.75

$0.75$ by

- 480

$- 480$ .

600 + 0.75 y - 360 + 400 - 3000 \cdot 0.04 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 3000 \cdot 0.04 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)$

Step 2.3

Multiply

- 3000

$- 3000$ by

0.04

$0.04$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 0.2 (600) + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)$

Step 2.4

Simplify each term.

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Step 2.4.1

Multiply

0.2

$0.2$ by

600

$600$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 120 + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 120 + 3000 (1)) - 1 (0.2 y - 7700 \cdot 1)$

Step 2.4.2

Multiply

3000

$3000$ by

1

$1$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 120 + 3000) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 120 + 3000) - 1 (0.2 y - 7700 \cdot 1)$

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 120 + 3000) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (800 + 120 + 3000) - 1 (0.2 y - 7700 \cdot 1)$

Step 2.5

Add

800

$800$ and

120

$120$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (920 + 3000) - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 (920 + 3000) - 1 (0.2 y - 7700 \cdot 1)$

Step 2.6

Add

920

$920$ and

3000

$3000$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 \cdot 3920 - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 500 \cdot 3920 - 1 (0.2 y - 7700 \cdot 1)$

Step 2.7

Multiply

500

$500$ by

3920

$3920$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 1 (0.2 y - 7700 \cdot 1)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 1 (0.2 y - 7700 \cdot 1)$

Step 2.8

Multiply

- 7700

$- 7700$ by

1

$1$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 1 (0.2 y - 7700)

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 1 (0.2 y - 7700)$

Step 2.9

Apply the distributive property.

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 1 (0.2 y) - 1 \cdot - 7700

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 1 (0.2 y) - 1 \cdot - 7700$

Step 2.10

Multiply

0.2

$0.2$ by

- 1

$- 1$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 0.2 y - 1 \cdot - 7700

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 0.2 y - 1 \cdot - 7700$

Step 2.11

Multiply

- 1

$- 1$ by

- 7700

$- 7700$ .

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 0.2 y + 7700

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 0.2 y + 7700$

600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 0.2 y + 7700

$600 + 0.75 y - 360 + 400 - 120 + 0.25 y + 1960000 - 0.2 y + 7700$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract

360

$360$ from

600

$600$ .

0.75 y + 240 + 400 - 120 + 0.25 y + 1960000 - 0.2 y + 7700

$0.75 y + 240 + 400 - 120 + 0.25 y + 1960000 - 0.2 y + 7700$

Step 3.2

Add

0.75 y

$0.75 y$ and

0.25 y

$0.25 y$ .

y + 240 + 400 - 120 + 1960000 - 0.2 y + 7700

$y + 240 + 400 - 120 + 1960000 - 0.2 y + 7700$

Step 3.3

Subtract

0.2 y

$0.2 y$ from

y

$y$ .

0.8 y + 240 + 400 - 120 + 1960000 + 7700

$0.8 y + 240 + 400 - 120 + 1960000 + 7700$

Step 3.4

Simplify by adding and subtracting.

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Step 3.4.1

Add

240

$240$ and

400

$400$ .

0.8 y + 640 - 120 + 1960000 + 7700

$0.8 y + 640 - 120 + 1960000 + 7700$

Step 3.4.2

Subtract

120

$120$ from

640

$640$ .

0.8 y + 520 + 1960000 + 7700

$0.8 y + 520 + 1960000 + 7700$

Step 3.4.3

Add

520

$520$ and

1960000

$1960000$ .

0.8 y + 1960520 + 7700

$0.8 y + 1960520 + 7700$

Step 3.4.4

Add

1960520

$1960520$ and

7700

$7700$ .

0.8 y + 1968220

$0.8 y + 1968220$

0.8 y + 1968220

$0.8 y + 1968220$

0.8 y + 1968220

$0.8 y + 1968220$