Solve for y 3(x+y)=y

$3 (x + y) = y$

Simplify $3 (x + y)$ .

Start simplifying.

$0 + 0 + 3 (x + y) = y$

Simplify by adding zeros.

$3 (x + y) = y$

Apply the distributive property.

$3 x + 3 y = y$

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

Subtract $y$ from both sides of the equation.

$3 x + 3 y - y = 0$

Subtract $y$ from $3 y$ .

$3 x + 2 y = 0$

Subtract $3 x$ from both sides of the equation.

$2 y = - 3 x$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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