-2(y-3)=y-6

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

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

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

Reorder the terms:
6 + -2y = -6 + y

Solving
6 + -2y = -6 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + -2y + -1y = -6 + y + -1y

Combine like terms: -2y + -1y = -3y
6 + -3y = -6 + y + -1y

Combine like terms: y + -1y = 0
6 + -3y = -6 + 0
6 + -3y = -6

Add '-6' to each side of the equation.
6 + -6 + -3y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -3y = -6 + -6
-3y = -6 + -6

Combine like terms: -6 + -6 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4