# How do you solve  5y - 2y = 3y + 2?

May 31, 2018

$5 y - 2 y = 3 y + 2$ so $3 y = 3 y + 2$ so $0 = 2$ so there are no solutions.

May 31, 2018

No solution.

#### Explanation:

$5 y - 2 y = 3 y + 2$

Subtract $2 y$ from $5 y$ to get:

$5 y - 2 y = 3 y + 2$
$3 y = 3 y + 2$

Move all the terms containing variable $y$ to one side of the equation:

$3 y - 3 y = 2$

Subtract $3 y$ from $3 y$:

$3 y - 3 y = 2$
$0 = 2$

Since $2 \ne 0$, there would be no solutions for $y$.