Solve (y+2)x=y

$$( y + 2 ) x = y$$

Solve for x

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

$$y\neq -2$$

Steps for Solving Linear Equation

Divide both sides by y+2.

$$\frac{\left(y+2\right)x}{y+2}=\frac{y}{y+2}$$

Dividing by y+2 undoes the multiplication by y+2.

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

Solve for y

$$y=-\frac{2x}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Use the distributive property to multiply y+2 by x.

$$yx+2x=y$$

Subtract y from both sides.

$$yx+2x-y=0$$

Subtract 2x from both sides. Anything subtracted from zero gives its negation.

$$yx-y=-2x$$

Combine all terms containing y.

$$\left(x-1\right)y=-2x$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)y}{x-1}=-\frac{2x}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$y=-\frac{2x}{x-1}$$