# How do you solve the equation for y: 2x + 3(y + 9) = 17?

Jul 14, 2015

The answer is $y = - \frac{2}{3} \left(x + 5\right)$.

#### Explanation:

$2 x + 3 \left(y + 9\right) = 17$

Use the distributive property to multiply $3$ times $\left(y + 9\right)$.

$2 x + 3 y + 27 = 17$

Subtract $27$ from both sides.

$2 x + 3 y = 17 - 27$ =

$2 x + 3 y = - 10$

Subtract $2 x$ from both sides.

$3 y = - 2 x - 10$

Factor $- 2$ from $\left(- 2 x - 10\right)$

$3 y = - 2 \left(x + 5\right)$

Divide both sides by $3$.

$y = - \frac{2}{3} \left(x + 5\right)$