6(y-1)=-6y-42

Solution for 6(y-1)=-6y-42 equation:

Simplifying
6(y + -1) = -6y + -42

Reorder the terms:
6(-1 + y) = -6y + -42
(-1 * 6 + y * 6) = -6y + -42
(-6 + 6y) = -6y + -42

Reorder the terms:
-6 + 6y = -42 + -6y

Solving
-6 + 6y = -42 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-6 + 6y + 6y = -42 + -6y + 6y

Combine like terms: 6y + 6y = 12y
-6 + 12y = -42 + -6y + 6y

Combine like terms: -6y + 6y = 0
-6 + 12y = -42 + 0
-6 + 12y = -42

Add '6' to each side of the equation.
-6 + 6 + 12y = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 12y = -42 + 6
12y = -42 + 6

Combine like terms: -42 + 6 = -36
12y = -36

Divide each side by '12'.
y = -3

Simplifying
y = -3