# How do you solve for y in -3x+5y=-10?

Apr 11, 2015

$- 3 x + 5 y = - 10$

As we need to solve for $y$, we transpose $- 3 x$ to the right hand side to get

$5 y = - 10 + 3 x$

We divide both sides by 5

$\frac{\cancel{5} y}{\cancel{5}} = \frac{- 10 + 3 x}{5}$

$y = - \frac{10}{5} + \frac{3 x}{5}$

$y = - 2 + \frac{3 x}{5}$

color(green)(y = (3x)/5 - 2