Basic Math Examples

$5 (3 y - 2) - (7 y + 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 (3 y) + 5 \cdot - 2 - (7 y + 2)$

Step 1.2

Multiply $3$ by $5$ .

$15 y + 5 \cdot - 2 - (7 y + 2)$

Step 1.3

Multiply $5$ by $- 2$ .

$15 y - 10 - (7 y + 2)$

Step 1.4

Apply the distributive property.

$15 y - 10 - (7 y) - 1 \cdot 2$

Step 1.5

Multiply $7$ by $- 1$ .

$15 y - 10 - 7 y - 1 \cdot 2$

Step 1.6

Multiply $- 1$ by $2$ .

$15 y - 10 - 7 y - 2$

$15 y - 10 - 7 y - 2$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7 y$ from $15 y$ .

$8 y - 10 - 2$

Step 2.2

Subtract $2$ from $- 10$ .

$8 y - 12$

$8 y - 12$

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