6y+6-2(-6y-1)=2(y-2)

Solution for 6y+6-2(-6y-1)=2(y-2) equation:

Simplifying
6y + 6 + -2(-6y + -1) = 2(y + -2)

Reorder the terms:
6y + 6 + -2(-1 + -6y) = 2(y + -2)
6y + 6 + (-1 * -2 + -6y * -2) = 2(y + -2)
6y + 6 + (2 + 12y) = 2(y + -2)

Reorder the terms:
6 + 2 + 6y + 12y = 2(y + -2)

Combine like terms: 6 + 2 = 8
8 + 6y + 12y = 2(y + -2)

Combine like terms: 6y + 12y = 18y
8 + 18y = 2(y + -2)

Reorder the terms:
8 + 18y = 2(-2 + y)
8 + 18y = (-2 * 2 + y * 2)
8 + 18y = (-4 + 2y)

Solving
8 + 18y = -4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
8 + 18y + -2y = -4 + 2y + -2y

Combine like terms: 18y + -2y = 16y
8 + 16y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 16y = -4 + 0
8 + 16y = -4

Add '-8' to each side of the equation.
8 + -8 + 16y = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 16y = -4 + -8
16y = -4 + -8

Combine like terms: -4 + -8 = -12
16y = -12

Divide each side by '16'.
y = -0.75

Simplifying
y = -0.75