How do you solve for y in -3y=2x-9?

Jan 8, 2017

Divide each side of the equation by $- 3$ to isolate $y$ while keeping the equation balanced. See below:

Explanation:

Divide each side of the equation by $\textcolor{red}{- 3}$ to isolate $y$ while keeping the equation balanced.

$\frac{- 3 y}{\textcolor{red}{- 3}} = \frac{2 x - 9}{\textcolor{red}{- 3}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 3}}} y}{\cancel{\textcolor{red}{- 3}}} = \frac{2 x}{\textcolor{red}{- 3}} - \frac{9}{\textcolor{red}{- 3}}$

$y = - \frac{2}{3} x + \frac{9}{3}$

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