# How do you solve for w in 2w - y = 7w - 2?

Sep 21, 2017

$w = \frac{2 - y}{5}$

#### Explanation:

Move the $w$'s to one side of the equals sign and everything else to the other:

$2 w - y \left(+ 2\right) \left(- 2 w\right) = 7 w - 2 \left(+ 2\right) \left(- 2 w\right)$

$2 - y = 5 w$

Divide everything by $5$

$\frac{2 - y}{5} = \frac{5 w}{5}$

$\frac{2 - y}{5}$