# How do you solve 32> -2y?

Jan 3, 2017

Divide each side of the inequality by $- 2$ but ensure you follow the rule for inequalities when multiplying or dividing by negative numbers. See full explanation below.

#### Explanation:

Divide each side of the inequality by $\textcolor{red}{- 2}$ to solve for $y$ and keep the equation balanced.

However, because this is an inequality and we are multiplying or dividing by a negative number we must reverse the inequality.

$\frac{32}{\textcolor{red}{- 2}} \textcolor{b l u e}{<} \frac{- 2 y}{\textcolor{red}{- 2}}$

$- 16 < \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2}}} y}{\cancel{\textcolor{red}{- 2}}}$

$- 16 < y$

And now, to solve in terms of $y$ we can reverse or $f l i p$ the inequality:

$y > - 16$