Solve 5(y+8)-5=4(2y-7)

$$5 ( y + 8 ) - 5 = 4 ( 2 y - 7 )$$

Solve for y

$$y=21$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by y+8.

$$5y+40-5=4\left(2y-7\right)$$

Subtract 5 from 40 to get 35.

$$5y+35=4\left(2y-7\right)$$

Use the distributive property to multiply 4 by 2y-7.

$$5y+35=8y-28$$

Subtract 8y from both sides.

$$5y+35-8y=-28$$

Combine 5y and -8y to get -3y.

$$-3y+35=-28$$

Subtract 35 from both sides.

$$-3y=-28-35$$

Subtract 35 from -28 to get -63.

$$-3y=-63$$

Divide both sides by -3.

$$y=\frac{-63}{-3}$$

Divide -63 by -3 to get 21.

$$y=21$$