# How do you solve 5=5(y-2) using the distributive property?

Mar 2, 2017

$\textcolor{g r e e n}{y = 3}$
$\textcolor{w h i t e}{\text{XXX}}$see below for use of the distributive property in this solution

#### Explanation:

According to the distributive property
$\textcolor{w h i t e}{\text{XXX}} 5 \left(y - 2\right) = 5 \cdot y - 5 \cdot 2 = 5 y - 10$

So
$\textcolor{w h i t e}{\text{XXX}} 5 = 5 \left(y - 2\right)$
is equivalent to
$\textcolor{w h i t e}{\text{XXX}} 5 = 5 y - 10$

Adding $10$ to both sides:
$\textcolor{w h i t e}{\text{XXX}} 15 = 5 y$

Then dividing by $5$:
$\textcolor{w h i t e}{\text{XXX")3=ycolor(white)("XXX}}$or more commonly: $y = 3$