Basic Math Examples

$9 (5 (y - 4) + 19) - (2 (2 y - 3) + 3)$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$9 (5 y + 5 \cdot - 4 + 19) - (2 (2 y - 3) + 3)$

Step 1.1.2

Multiply $5$ by $- 4$ .

$9 (5 y - 20 + 19) - (2 (2 y - 3) + 3)$

$9 (5 y - 20 + 19) - (2 (2 y - 3) + 3)$

Step 1.2

Add $- 20$ and $19$ .

$9 (5 y - 1) - (2 (2 y - 3) + 3)$

Step 1.3

Apply the distributive property.

$9 (5 y) + 9 \cdot - 1 - (2 (2 y - 3) + 3)$

Step 1.4

Multiply $5$ by $9$ .

$45 y + 9 \cdot - 1 - (2 (2 y - 3) + 3)$

Step 1.5

Multiply $9$ by $- 1$ .

$45 y - 9 - (2 (2 y - 3) + 3)$

Step 1.6

Simplify each term.

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Step 1.6.1

Apply the distributive property.

$45 y - 9 - (2 (2 y) + 2 \cdot - 3 + 3)$

Step 1.6.2

Multiply $2$ by $2$ .

$45 y - 9 - (4 y + 2 \cdot - 3 + 3)$

Step 1.6.3

Multiply $2$ by $- 3$ .

$45 y - 9 - (4 y - 6 + 3)$

$45 y - 9 - (4 y - 6 + 3)$

Step 1.7

Add $- 6$ and $3$ .

$45 y - 9 - (4 y - 3)$

Step 1.8

Apply the distributive property.

$45 y - 9 - (4 y) - - 3$

Step 1.9

Multiply $4$ by $- 1$ .

$45 y - 9 - 4 y - - 3$

Step 1.10

Multiply $- 1$ by $- 3$ .

$45 y - 9 - 4 y + 3$

$45 y - 9 - 4 y + 3$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 y$ from $45 y$ .

$41 y - 9 + 3$

Step 2.2

Add $- 9$ and $3$ .

$41 y - 6$

$41 y - 6$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$