# How do you solve 3/4 y -1/2 y -5=7?

May 11, 2016

$y = 48$

#### Explanation:

This is an equation with fractions. We can get rid of the denominators by multiplying each term by the LCM of the denominators, (which is 4).

$\frac{3}{4} y - \frac{1}{2} y - 5 = 7 \Rightarrow$ $\textcolor{red}{4} \times \frac{3}{4} y - \textcolor{red}{4} \times \frac{1}{2} y - \textcolor{red}{4} \times 5 = \textcolor{red}{4} \times 7$

$\cancel{\textcolor{red}{4}} \times \frac{3}{\cancel{4}} y - {\textcolor{red}{\cancel{4}}}^{2} \times \frac{1}{\cancel{2}} y - \textcolor{red}{4} \times 5 = \textcolor{red}{4} \times 7$

$3 y - 2 y - 20 = 28$

$y = 48$