# How do you solve - 3/5y + 7 = - 8?

Nov 5, 2015

$y = \frac{75}{3}$ or $y = 25$, simplified.

#### Explanation:

In this equation, your end goal is to get $y$ by itself.

Your first step is to get $y$ isolated on one side. To do this, you would use the $\text{subtraction property of equality}$. You will subtract $7$ from both sides to cancel out the left side $7$ and leave $y$ by itself. $- \frac{3}{5} y + 7 = - 8 \implies - \frac{3}{5} y + 0 = - 15$

Now you have $- \frac{3}{5} y = - 15$ and you want to get y completely by itself. To do this you would use the $\text{multiplication property of equality}$, and multiply by the $\text{reciprocal}$ to make the $- \frac{3}{5}$ to 1.
$- \frac{3}{5} y \cdot \left(- \frac{5}{3}\right) = - \frac{15}{1} \cdot \left(- \frac{5}{3}\right)$

Doing this will give you $y = \frac{75}{3}$ which reduces down to $y = 25$.