# How do you solve for y in 1+7y=5x-2?

Mar 22, 2017

$y = \frac{5}{7} x - \frac{3}{7}$

#### Explanation:

Isolate 7y on the left side of the equation by subtracting 1 from both sides.

$\cancel{1} \cancel{- 1} + 7 y = 5 x - 2 - 1$

$\Rightarrow 7 y = 5 x - 3$

divide both sides by 7

$\frac{\cancel{7} y}{\cancel{7}} = \frac{1}{7} \left(5 x - 3\right)$

$\Rightarrow y = \frac{1}{7} \left(5 x - 3\right) \text{ or }$

$y = \frac{5}{7} x - \frac{3}{7}$