36=-2(21-y)+3(y-4)

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Solution for 36=-2(21-y)+3(y-4) equation: 


Simplifying
36 = -2(21 + -1y) + 3(y + -4)
36 = (21 * -2 + -1y * -2) + 3(y + -4)
36 = (-42 + 2y) + 3(y + -4)

Reorder the terms:
36 = -42 + 2y + 3(-4 + y)
36 = -42 + 2y + (-4 * 3 + y * 3)
36 = -42 + 2y + (-12 + 3y)

Reorder the terms:
36 = -42 + -12 + 2y + 3y

Combine like terms: -42 + -12 = -54
36 = -54 + 2y + 3y

Combine like terms: 2y + 3y = 5y
36 = -54 + 5y

Solving
36 = -54 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
36 + -5y = -54 + 5y + -5y

Combine like terms: 5y + -5y = 0
36 + -5y = -54 + 0
36 + -5y = -54

Add '-36' to each side of the equation.
36 + -36 + -5y = -54 + -36

Combine like terms: 36 + -36 = 0
0 + -5y = -54 + -36
-5y = -54 + -36

Combine like terms: -54 + -36 = -90
-5y = -90

Divide each side by '-5'.
y = 18

Simplifying
y = 18

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