# How do you solve -52( y + 97) = y + 39?

Apr 15, 2018

$y = \frac{5083}{51}$

#### Explanation:

$52 y - 5044 = y + 39$

Add $- y$ to both sides

$52 y - 5044 - y = \cancel{y} + 39 \cancel{- y}$

Now add $5044$ to both sides

$51 y \cancel{- 5044} \cancel{+ 5044} = 39 + 5044$

$51 y = 5083$

Divide both sides by $51$

$\frac{\cancel{51} y}{\cancel{51}} = \frac{5083}{51}$

$y = \frac{5083}{51}$