# How do you solve for y in -9x - 7 = 2y + 7?

May 28, 2018

$y = \frac{- 9 x - 14}{2}$ or $y = - \frac{9}{2} x - 7$

#### Explanation:

$- 9 x - 7 = 2 y + 7$

To solve for $y$, we have to make $y$ by itself.

First, subtract $\textcolor{b l u e}{7}$ from both sides of the equation:
$- 9 x - 7 \quad \textcolor{b l u e}{- \quad 7} = 2 y + 7 \quad \textcolor{b l u e}{- \quad 7}$

$- 9 x - 14 = 2 y$

Now divide both sides by $\textcolor{b l u e}{2}$:
$\frac{- 9 x - 14}{\textcolor{b l u e}{2}} = \frac{2 y}{\textcolor{b l u e}{2}}$

Therefore,
$y = \frac{- 9 x - 14}{2}$

This can also be simplified to:
$y = \frac{- 9}{2} x - \frac{14}{2}$

$y = - \frac{9}{2} x - 7$

Hope this helps!