Solve 7(y+5)-5(y-1)=0

$$7 ( y + 5 ) - 5 ( y - 1 ) = 0$$

Solve for y

$$y=-20$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by y+5.

$$7y+35-5\left(y-1\right)=0$$

Use the distributive property to multiply -5 by y-1.

$$7y+35-5y+5=0$$

Combine 7y and -5y to get 2y.

$$2y+35+5=0$$

Add 35 and 5 to get 40.

$$2y+40=0$$

Subtract 40 from both sides. Anything subtracted from zero gives its negation.

$$2y=-40$$

Divide both sides by 2.

$$y=\frac{-40}{2}$$

Divide -40 by 2 to get -20.

$$y=-20$$