Solve (y+3)(y+5)=y(y+11)

$$( y + 3 ) ( y + 5 ) = y ( y + 11 )$$

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply y+3 by y+5 and combine like terms.

$$y^{2}+8y+15=y\left(y+11\right)$$

Use the distributive property to multiply y by y+11.

$$y^{2}+8y+15=y^{2}+11y$$

Subtract y^{2} from both sides.

$$y^{2}+8y+15-y^{2}=11y$$

Combine y^{2} and -y^{2} to get 0.

$$8y+15=11y$$

Subtract 11y from both sides.

$$8y+15-11y=0$$

Combine 8y and -11y to get -3y.

$$-3y+15=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$-3y=-15$$

Divide both sides by -3.

$$y=\frac{-15}{-3}$$

Divide -15 by -3 to get 5.

$$y=5$$