-3(7y-1)+8y=5(y+1)

Solution for -3(7y-1)+8y=5(y+1) equation:

Simplifying
-3(7y + -1) + 8y = 5(y + 1)

Reorder the terms:
-3(-1 + 7y) + 8y = 5(y + 1)
(-1 * -3 + 7y * -3) + 8y = 5(y + 1)
(3 + -21y) + 8y = 5(y + 1)

Combine like terms: -21y + 8y = -13y
3 + -13y = 5(y + 1)

Reorder the terms:
3 + -13y = 5(1 + y)
3 + -13y = (1 * 5 + y * 5)
3 + -13y = (5 + 5y)

Solving
3 + -13y = 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.
3 + -13y + -5y = 5 + 5y + -5y

Combine like terms: -13y + -5y = -18y
3 + -18y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + -18y = 5 + 0
3 + -18y = 5

Add '-3' to each side of the equation.
3 + -3 + -18y = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -18y = 5 + -3
-18y = 5 + -3

Combine like terms: 5 + -3 = 2
-18y = 2

Divide each side by '-18'.
y = -0.1111111111

Simplifying
y = -0.1111111111