# How do you solve the inequality 3y-4> -37?

Mar 11, 2018

See a solution process below:

#### Explanation:

First add $\textcolor{red}{4}$ to each side of the inequality to isolate the $y$ term while keeping the inequality balanced:

$3 y - 4 + \textcolor{red}{4} > - 37 + \textcolor{red}{4}$

$3 y - 0 > - 33$

$3 y > - 33$

Now, divide each side of the inequality by $\textcolor{red}{3}$ to solve for $y$ while keeping the inequality balanced:

$\frac{3 y}{\textcolor{red}{3}} > - \frac{33}{\textcolor{red}{3}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} y}{\cancel{\textcolor{red}{3}}} > - 11$

$y > - 11$