# How do you solve 4(y-1)=3(2+y)?

Jan 5, 2016

$y = 10$
(see below for solution method)

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} 4 \left(y - 1\right) = 3 \left(2 + y\right)$

Expanding both sides:
$\textcolor{w h i t e}{\text{XXX}} 4 y - 4 = 6 + 3 y$

Subtract $\left(3 y - 4\right)$ from both sides to isolate the variable on one side and the constant on the other
$\textcolor{w h i t e}{\text{XXX}} \left(4 y - 4\right) - \left(3 y - 4\right) = \left(6 + 3 y\right) - \left(3 y - 4\right)$

Simplify
$\textcolor{w h i t e}{\text{XXX}} y = 10$