Solve for y 5y-3=2y+12

$5 y - 3 = 2 y + 12$

Step 1

Move all terms containing $y$ to the left side of the equation.

Subtract $2 y$ from both sides of the equation.

$5 y - 3 - 2 y = 12$

Subtract $2 y$ from $5 y$ .

$3 y - 3 = 12$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Add $3$ to both sides of the equation.

$3 y = 12 + 3$

Add $12$ and $3$ .

$3 y = 15$

Step 3

Divide each term in $3 y = 15$ by $3$ and simplify.

Divide each term in $3 y = 15$ by $3$ .

$\frac{3 y}{3} = \frac{15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{15}{3}$

Divide $y$ by $1$ .

$y = \frac{15}{3}$

Simplify the right side.

Divide $15$ by $3$ .

$y = 5$