6=3(y-2)-6y

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

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

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

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

Solving
6 = -6 + -3y

Solving for variable 'y'.

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

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

Combine like terms: -3y + 3y = 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