4(y-8)=5+5y

Solution for 4(y-8)=5+5y equation:

Simplifying
4(y + -8) = 5 + 5y

Reorder the terms:
4(-8 + y) = 5 + 5y
(-8 * 4 + y * 4) = 5 + 5y
(-32 + 4y) = 5 + 5y

Solving
-32 + 4y = 5 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-32 + 4y + -5y = 5 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-32 + -1y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
-32 + -1y = 5 + 0
-32 + -1y = 5

Add '32' to each side of the equation.
-32 + 32 + -1y = 5 + 32

Combine like terms: -32 + 32 = 0
0 + -1y = 5 + 32
-1y = 5 + 32

Combine like terms: 5 + 32 = 37
-1y = 37

Divide each side by '-1'.
y = -37

Simplifying
y = -37