Solve for y 2x+5=3y-4

$2 x + 5 = 3 y - 4$

Step 1

Rewrite the equation as $3 y - 4 = 2 x + 5$ .

$3 y - 4 = 2 x + 5$

Step 2

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

Add $4$ to both sides of the equation.

$3 y = 2 x + 5 + 4$

Add $5$ and $4$ .

$3 y = 2 x + 9$

Step 3

Divide each term in $3 y = 2 x + 9$ by $3$ and simplify.

Divide each term in $3 y = 2 x + 9$ by $3$ .

$\frac{3 y}{3} = \frac{2 x}{3} + \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{2 x}{3} + \frac{9}{3}$

Divide $y$ by $1$ .

$y = \frac{2 x}{3} + \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$y = \frac{2 x}{3} + 3$