-3y+2(-6y+6)=-1+1(6-y)

Solution for -3y+2(-6y+6)=-1+1(6-y) equation:

Simplifying
-3y + 2(-6y + 6) = -1 + 1(6 + -1y)

Reorder the terms:
-3y + 2(6 + -6y) = -1 + 1(6 + -1y)
-3y + (6 * 2 + -6y * 2) = -1 + 1(6 + -1y)
-3y + (12 + -12y) = -1 + 1(6 + -1y)

Reorder the terms:
12 + -3y + -12y = -1 + 1(6 + -1y)

Combine like terms: -3y + -12y = -15y
12 + -15y = -1 + 1(6 + -1y)
12 + -15y = -1 + (6 * 1 + -1y * 1)
12 + -15y = -1 + (6 + -1y)

Combine like terms: -1 + 6 = 5
12 + -15y = 5 + -1y

Solving
12 + -15y = 5 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
12 + -15y + y = 5 + -1y + y

Combine like terms: -15y + y = -14y
12 + -14y = 5 + -1y + y

Combine like terms: -1y + y = 0
12 + -14y = 5 + 0
12 + -14y = 5

Add '-12' to each side of the equation.
12 + -12 + -14y = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -14y = 5 + -12
-14y = 5 + -12

Combine like terms: 5 + -12 = -7
-14y = -7

Divide each side by '-14'.
y = 0.5

Simplifying
y = 0.5