36=-3(22-y)+3(y-4)

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Solution for 36=-3(22-y)+3(y-4) equation:


Simplifying
36 = -3(22 + -1y) + 3(y + -4)
36 = (22 * -3 + -1y * -3) + 3(y + -4)
36 = (-66 + 3y) + 3(y + -4)

Reorder the terms:
36 = -66 + 3y + 3(-4 + y)
36 = -66 + 3y + (-4 * 3 + y * 3)
36 = -66 + 3y + (-12 + 3y)

Reorder the terms:
36 = -66 + -12 + 3y + 3y

Combine like terms: -66 + -12 = -78
36 = -78 + 3y + 3y

Combine like terms: 3y + 3y = 6y
36 = -78 + 6y

Solving
36 = -78 + 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 = -78 + 6y + -6y

Combine like terms: 6y + -6y = 0
36 + -6y = -78 + 0
36 + -6y = -78

Add '-36' to each side of the equation.
36 + -36 + -6y = -78 + -36

Combine like terms: 36 + -36 = 0
0 + -6y = -78 + -36
-6y = -78 + -36

Combine like terms: -78 + -36 = -114
-6y = -114

Divide each side by '-6'.
y = 19

Simplifying
y = 19

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