-6=2(y-1)

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

Simplifying
-6 = 2(y + -1)

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

Solving
-6 = -2 + 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.
-6 + -2y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + -2y = -2 + 0
-6 + -2y = -2

Add '6' to each side of the equation.
-6 + 6 + -2y = -2 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = -2 + 6
-2y = -2 + 6

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

Divide each side by '-2'.
y = -2

Simplifying
y = -2