Solve 2y+y/z=2

$$\frac { 2 y + y } { z } = 2$$

Solve for y

$$y=\frac{2z}{3}$$

$$z\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z.

$$2y+y=2z$$

Combine 2y and y to get 3y.

$$3y=2z$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{2z}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{2z}{3}$$

Solve for z

$$z=\frac{3y}{2}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by z.

$$2y+y=2z$$

Combine 2y and y to get 3y.

$$3y=2z$$

Swap sides so that all variable terms are on the left hand side.

$$2z=3y$$

Divide both sides by 2.

$$\frac{2z}{2}=\frac{3y}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$z=\frac{3y}{2}$$

Variable z cannot be equal to 0.

$$z=\frac{3y}{2}\text{, }z\neq 0$$