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

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

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

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

Reorder the terms:
6 + 3y = -2(-7 + 7y) + y
6 + 3y = (-7 * -2 + 7y * -2) + y
6 + 3y = (14 + -14y) + y

Combine like terms: -14y + y = -13y
6 + 3y = 14 + -13y

Solving
6 + 3y = 14 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
6 + 3y + 13y = 14 + -13y + 13y

Combine like terms: 3y + 13y = 16y
6 + 16y = 14 + -13y + 13y

Combine like terms: -13y + 13y = 0
6 + 16y = 14 + 0
6 + 16y = 14

Add '-6' to each side of the equation.
6 + -6 + 16y = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 16y = 14 + -6
16y = 14 + -6

Combine like terms: 14 + -6 = 8
16y = 8

Divide each side by '16'.
y = 0.5

Simplifying
y = 0.5