36=-3(22-y)+3(y-2)

Solution for 36=-3(22-y)+3(y-2) equation:

Simplifying
36 = -3(22 + -1y) + 3(y + -2)
36 = (22 * -3 + -1y * -3) + 3(y + -2)
36 = (-66 + 3y) + 3(y + -2)

Reorder the terms:
36 = -66 + 3y + 3(-2 + y)
36 = -66 + 3y + (-2 * 3 + y * 3)
36 = -66 + 3y + (-6 + 3y)

Reorder the terms:
36 = -66 + -6 + 3y + 3y

Combine like terms: -66 + -6 = -72
36 = -72 + 3y + 3y

Combine like terms: 3y + 3y = 6y
36 = -72 + 6y

Solving
36 = -72 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
36 + -6y = -72 + 6y + -6y

Combine like terms: 6y + -6y = 0
36 + -6y = -72 + 0
36 + -6y = -72

Add '-36' to each side of the equation.
36 + -36 + -6y = -72 + -36

Combine like terms: 36 + -36 = 0
0 + -6y = -72 + -36
-6y = -72 + -36

Combine like terms: -72 + -36 = -108
-6y = -108

Divide each side by '-6'.
y = 18

Simplifying
y = 18