6-8y=-5(4-y)

Solution for 6-8y=-5(4-y) equation:

Simplifying
6 + -8y = -5(4 + -1y)
6 + -8y = (4 * -5 + -1y * -5)
6 + -8y = (-20 + 5y)

Solving
6 + -8y = -20 + 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.
6 + -8y + -5y = -20 + 5y + -5y

Combine like terms: -8y + -5y = -13y
6 + -13y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -13y = -20 + 0
6 + -13y = -20

Add '-6' to each side of the equation.
6 + -6 + -13y = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -13y = -20 + -6
-13y = -20 + -6

Combine like terms: -20 + -6 = -26
-13y = -26

Divide each side by '-13'.
y = 2

Simplifying
y = 2