# How do you solve for y in the equation 2x+2y=5?

Mar 27, 2018

$y = \frac{1}{2} \left(5 - 2 x\right)$

#### Explanation:

$\text{isolate + 2y term by subtracting 2x from both sides}$

$\cancel{2 x} \cancel{- 2 x} + 2 y = 5 - 2 x$

.$\Rightarrow 2 y = 5 - 2 x$

$\text{divide both sides by 2}$

$\frac{\cancel{2} y}{\cancel{2}} = \frac{5 - 2 x}{2}$

$\Rightarrow y = \frac{5 - 2 x}{2} = \frac{1}{2} \left(5 - 2 x\right)$