Solve y2-y/y+3=0

$$\frac{ y2-y }{ y+3 } = 0$$

Solve for y

$$y=y_{2}$$

$$y_{2}\neq -3$$

Solution Steps

Variable y cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by y+3.

$$y_{2}-y=0$$

Subtract y_{2} from both sides. Anything subtracted from zero gives its negation.

$$-y=-y_{2}$$

Cancel out -1 on both sides.

$$y=y_{2}$$

Variable y cannot be equal to -3.

$$y=y_{2}\text{, }y\neq -3$$

Solve for y_2

$$y_{2}=y$$

$$y\neq -3$$

Solution Steps

Multiply both sides of the equation by y+3.

$$y_{2}-y=0$$

Add y to both sides. Anything plus zero gives itself.

$$y_{2}=y$$