-4(5y-5)+8y=6(y+1)

Solution for -4(5y-5)+8y=6(y+1) equation:

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

Reorder the terms:
-4(-5 + 5y) + 8y = 6(y + 1)
(-5 * -4 + 5y * -4) + 8y = 6(y + 1)
(20 + -20y) + 8y = 6(y + 1)

Combine like terms: -20y + 8y = -12y
20 + -12y = 6(y + 1)

Reorder the terms:
20 + -12y = 6(1 + y)
20 + -12y = (1 * 6 + y * 6)
20 + -12y = (6 + 6y)

Solving
20 + -12y = 6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
20 + -12y + -6y = 6 + 6y + -6y

Combine like terms: -12y + -6y = -18y
20 + -18y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
20 + -18y = 6 + 0
20 + -18y = 6

Add '-20' to each side of the equation.
20 + -20 + -18y = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -18y = 6 + -20
-18y = 6 + -20

Combine like terms: 6 + -20 = -14
-18y = -14

Divide each side by '-18'.
y = 0.7777777778

Simplifying
y = 0.7777777778