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

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

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

Reorder the terms:
-6 + -2y = 7(y + -6)

Reorder the terms:
-6 + -2y = 7(-6 + y)
-6 + -2y = (-6 * 7 + y * 7)
-6 + -2y = (-42 + 7y)

Solving
-6 + -2y = -42 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-6 + -2y + -7y = -42 + 7y + -7y

Combine like terms: -2y + -7y = -9y
-6 + -9y = -42 + 7y + -7y

Combine like terms: 7y + -7y = 0
-6 + -9y = -42 + 0
-6 + -9y = -42

Add '6' to each side of the equation.
-6 + 6 + -9y = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -9y = -42 + 6
-9y = -42 + 6

Combine like terms: -42 + 6 = -36
-9y = -36

Divide each side by '-9'.
y = 4

Simplifying
y = 4