# How do you solve 2/9y-16=-20?

##### 1 Answer
Mar 20, 2018

See a solution process below:

#### Explanation:

First, add $\textcolor{red}{16}$ to each side of the equation to isolate the $y$ term while keeping the equation balanced:

$\frac{2}{9} y - 16 + \textcolor{red}{16} = - 20 + \textcolor{red}{16}$

$\frac{2}{9} y - 0 = - 4$

$\frac{2}{9} y = - 4$

Now, multiply each side of the equation by $\frac{\textcolor{red}{9}}{\textcolor{b l u e}{2}}$ to solve for $y$ while keeping the equation balanced:

color(red)(9)/color(blue)(2) xx 2/9y = color(red)(9)/color(blue)(2) xx -4

18/18y = color(red)(9)/cancel(color(blue)(2)) xx color(blue)(cancel(color(black)(-4)))-2

$1 y = - 18$

$y = - 18$