6+2(2y-6)=-2(7y-3)+2y

Solution for 6+2(2y-6)=-2(7y-3)+2y equation:

Simplifying
6 + 2(2y + -6) = -2(7y + -3) + 2y

Reorder the terms:
6 + 2(-6 + 2y) = -2(7y + -3) + 2y
6 + (-6 * 2 + 2y * 2) = -2(7y + -3) + 2y
6 + (-12 + 4y) = -2(7y + -3) + 2y

Combine like terms: 6 + -12 = -6
-6 + 4y = -2(7y + -3) + 2y

Reorder the terms:
-6 + 4y = -2(-3 + 7y) + 2y
-6 + 4y = (-3 * -2 + 7y * -2) + 2y
-6 + 4y = (6 + -14y) + 2y

Combine like terms: -14y + 2y = -12y
-6 + 4y = 6 + -12y

Solving
-6 + 4y = 6 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
-6 + 4y + 12y = 6 + -12y + 12y

Combine like terms: 4y + 12y = 16y
-6 + 16y = 6 + -12y + 12y

Combine like terms: -12y + 12y = 0
-6 + 16y = 6 + 0
-6 + 16y = 6

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

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

Combine like terms: 6 + 6 = 12
16y = 12

Divide each side by '16'.
y = 0.75

Simplifying
y = 0.75