6-y=3(y-6)

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

Simplifying
6 + -1y = 3(y + -6)

Reorder the terms:
6 + -1y = 3(-6 + y)
6 + -1y = (-6 * 3 + y * 3)
6 + -1y = (-18 + 3y)

Solving
6 + -1y = -18 + 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 + -1y + -3y = -18 + 3y + -3y

Combine like terms: -1y + -3y = -4y
6 + -4y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -4y = -18 + 0
6 + -4y = -18

Add '-6' to each side of the equation.
6 + -6 + -4y = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = -18 + -6
-4y = -18 + -6

Combine like terms: -18 + -6 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6