Basic Math Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $0.75$ by $- 480$ .

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

Step 2.3

Multiply $- 3000$ by $0.04$ .

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

Step 2.4

Simplify each term.

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Step 2.4.1

Multiply $0.2$ by $600$ .

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

Step 2.4.2

Multiply $3000$ by $1$ .

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

Step 2.5

Add $800$ and $120$ .

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

Step 2.6

Add $920$ and $3000$ .

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

Step 2.7

Multiply $500$ by $3920$ .

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

Step 2.8

Multiply $- 7700$ by $1$ .

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

Step 2.9

Apply the distributive property.

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

Step 2.10

Multiply $0.2$ by $- 1$ .

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

Step 2.11

Multiply $- 1$ by $- 7700$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $360$ from $600$ .

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

Step 3.2

Add $0.75 y$ and $0.25 y$ .

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

Step 3.3

Subtract $0.2 y$ from $y$ .

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

Step 3.4

Simplify by adding and subtracting.

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Step 3.4.1

Add $240$ and $400$ .

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

Step 3.4.2

Subtract $120$ from $640$ .

$0.8 y + 520 + 1960000 + 7700$

Step 3.4.3

Add $520$ and $1960000$ .

$0.8 y + 1960520 + 7700$

Step 3.4.4

Add $1960520$ and $7700$ .

$0.8 y + 1968220$