-4(y-8)=-5y

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

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

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

Solving
32 + -4y = -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 = -5y + 5y

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

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

Add '-32' to each side of the equation.
32 + -32 + 1y = 0 + -32

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

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

Divide each side by '1'.
y = -32

Simplifying
y = -32