35-[2+7y-3(y+2)]=-4(4y-4)-[9(y-1)-17y+14]

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Solution for 35-[2+7y-3(y+2)]=-4(4y-4)-[9(y-1)-17y+14] equation:


Simplifying
35 + -1[2 + 7y + -3(y + 2)] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]

Reorder the terms:
35 + -1[2 + 7y + -3(2 + y)] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]
35 + -1[2 + 7y + (2 * -3 + y * -3)] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]
35 + -1[2 + 7y + (-6 + -3y)] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]

Reorder the terms:
35 + -1[2 + -6 + 7y + -3y] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]

Combine like terms: 2 + -6 = -4
35 + -1[-4 + 7y + -3y] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]

Combine like terms: 7y + -3y = 4y
35 + -1[-4 + 4y] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]
35 + [-4 * -1 + 4y * -1] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]
35 + [4 + -4y] = -4(4y + -4) + -1[9(y + -1) + -17y + 14]

Combine like terms: 35 + 4 = 39
39 + -4y = -4(4y + -4) + -1[9(y + -1) + -17y + 14]

Reorder the terms:
39 + -4y = -4(-4 + 4y) + -1[9(y + -1) + -17y + 14]
39 + -4y = (-4 * -4 + 4y * -4) + -1[9(y + -1) + -17y + 14]
39 + -4y = (16 + -16y) + -1[9(y + -1) + -17y + 14]

Reorder the terms:
39 + -4y = 16 + -16y + -1[9(-1 + y) + -17y + 14]
39 + -4y = 16 + -16y + -1[(-1 * 9 + y * 9) + -17y + 14]
39 + -4y = 16 + -16y + -1[(-9 + 9y) + -17y + 14]

Reorder the terms:
39 + -4y = 16 + -16y + -1[-9 + 14 + 9y + -17y]

Combine like terms: -9 + 14 = 5
39 + -4y = 16 + -16y + -1[5 + 9y + -17y]

Combine like terms: 9y + -17y = -8y
39 + -4y = 16 + -16y + -1[5 + -8y]
39 + -4y = 16 + -16y + [5 * -1 + -8y * -1]
39 + -4y = 16 + -16y + [-5 + 8y]

Reorder the terms:
39 + -4y = 16 + -5 + -16y + 8y

Combine like terms: 16 + -5 = 11
39 + -4y = 11 + -16y + 8y

Combine like terms: -16y + 8y = -8y
39 + -4y = 11 + -8y

Solving
39 + -4y = 11 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
39 + -4y + 8y = 11 + -8y + 8y

Combine like terms: -4y + 8y = 4y
39 + 4y = 11 + -8y + 8y

Combine like terms: -8y + 8y = 0
39 + 4y = 11 + 0
39 + 4y = 11

Add '-39' to each side of the equation.
39 + -39 + 4y = 11 + -39

Combine like terms: 39 + -39 = 0
0 + 4y = 11 + -39
4y = 11 + -39

Combine like terms: 11 + -39 = -28
4y = -28

Divide each side by '4'.
y = -7

Simplifying
y = -7

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