-3(2y-1)+7y=-5(y+1)

Solution for -3(2y-1)+7y=-5(y+1) equation:

Simplifying
-3(2y + -1) + 7y = -5(y + 1)

Reorder the terms:
-3(-1 + 2y) + 7y = -5(y + 1)
(-1 * -3 + 2y * -3) + 7y = -5(y + 1)
(3 + -6y) + 7y = -5(y + 1)

Combine like terms: -6y + 7y = 1y
3 + 1y = -5(y + 1)

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

Solving
3 + 1y = -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 + 1y + 5y = -5 + -5y + 5y

Combine like terms: 1y + 5y = 6y
3 + 6y = -5 + -5y + 5y

Combine like terms: -5y + 5y = 0
3 + 6y = -5 + 0
3 + 6y = -5

Add '-3' to each side of the equation.
3 + -3 + 6y = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 6y = -5 + -3
6y = -5 + -3

Combine like terms: -5 + -3 = -8
6y = -8

Divide each side by '6'.
y = -1.333333333

Simplifying
y = -1.333333333