36-[4+4y-2(y+4)]=-4(4y-6)-[9(y-1)-20y+17]

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Solution for 36-[4+4y-2(y+4)]=-4(4y-6)-[9(y-1)-20y+17] equation: 


Simplifying
36 + -1[4 + 4y + -2(y + 4)] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]

Reorder the terms:
36 + -1[4 + 4y + -2(4 + y)] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]
36 + -1[4 + 4y + (4 * -2 + y * -2)] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]
36 + -1[4 + 4y + (-8 + -2y)] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]

Reorder the terms:
36 + -1[4 + -8 + 4y + -2y] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]

Combine like terms: 4 + -8 = -4
36 + -1[-4 + 4y + -2y] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]

Combine like terms: 4y + -2y = 2y
36 + -1[-4 + 2y] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]
36 + [-4 * -1 + 2y * -1] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]
36 + [4 + -2y] = -4(4y + -6) + -1[9(y + -1) + -20y + 17]

Combine like terms: 36 + 4 = 40
40 + -2y = -4(4y + -6) + -1[9(y + -1) + -20y + 17]

Reorder the terms:
40 + -2y = -4(-6 + 4y) + -1[9(y + -1) + -20y + 17]
40 + -2y = (-6 * -4 + 4y * -4) + -1[9(y + -1) + -20y + 17]
40 + -2y = (24 + -16y) + -1[9(y + -1) + -20y + 17]

Reorder the terms:
40 + -2y = 24 + -16y + -1[9(-1 + y) + -20y + 17]
40 + -2y = 24 + -16y + -1[(-1 * 9 + y * 9) + -20y + 17]
40 + -2y = 24 + -16y + -1[(-9 + 9y) + -20y + 17]

Reorder the terms:
40 + -2y = 24 + -16y + -1[-9 + 17 + 9y + -20y]

Combine like terms: -9 + 17 = 8
40 + -2y = 24 + -16y + -1[8 + 9y + -20y]

Combine like terms: 9y + -20y = -11y
40 + -2y = 24 + -16y + -1[8 + -11y]
40 + -2y = 24 + -16y + [8 * -1 + -11y * -1]
40 + -2y = 24 + -16y + [-8 + 11y]

Reorder the terms:
40 + -2y = 24 + -8 + -16y + 11y

Combine like terms: 24 + -8 = 16
40 + -2y = 16 + -16y + 11y

Combine like terms: -16y + 11y = -5y
40 + -2y = 16 + -5y

Solving
40 + -2y = 16 + -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.
40 + -2y + 5y = 16 + -5y + 5y

Combine like terms: -2y + 5y = 3y
40 + 3y = 16 + -5y + 5y

Combine like terms: -5y + 5y = 0
40 + 3y = 16 + 0
40 + 3y = 16

Add '-40' to each side of the equation.
40 + -40 + 3y = 16 + -40

Combine like terms: 40 + -40 = 0
0 + 3y = 16 + -40
3y = 16 + -40

Combine like terms: 16 + -40 = -24
3y = -24

Divide each side by '3'.
y = -8

Simplifying
y = -8

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