35-(1+9y-4(y+2))=-4(4y-4)-(5(y-1)-9y+7)

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Solution for 35-(1+9y-4(y+2))=-4(4y-4)-(5(y-1)-9y+7) equation:


Simplifying
35 + -1(1 + 9y + -4(y + 2)) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)

Reorder the terms:
35 + -1(1 + 9y + -4(2 + y)) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)
35 + -1(1 + 9y + (2 * -4 + y * -4)) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)
35 + -1(1 + 9y + (-8 + -4y)) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)

Reorder the terms:
35 + -1(1 + -8 + 9y + -4y) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)

Combine like terms: 1 + -8 = -7
35 + -1(-7 + 9y + -4y) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)

Combine like terms: 9y + -4y = 5y
35 + -1(-7 + 5y) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)
35 + (-7 * -1 + 5y * -1) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)
35 + (7 + -5y) = -4(4y + -4) + -1(5(y + -1) + -9y + 7)

Combine like terms: 35 + 7 = 42
42 + -5y = -4(4y + -4) + -1(5(y + -1) + -9y + 7)

Reorder the terms:
42 + -5y = -4(-4 + 4y) + -1(5(y + -1) + -9y + 7)
42 + -5y = (-4 * -4 + 4y * -4) + -1(5(y + -1) + -9y + 7)
42 + -5y = (16 + -16y) + -1(5(y + -1) + -9y + 7)

Reorder the terms:
42 + -5y = 16 + -16y + -1(5(-1 + y) + -9y + 7)
42 + -5y = 16 + -16y + -1((-1 * 5 + y * 5) + -9y + 7)
42 + -5y = 16 + -16y + -1((-5 + 5y) + -9y + 7)

Reorder the terms:
42 + -5y = 16 + -16y + -1(-5 + 7 + 5y + -9y)

Combine like terms: -5 + 7 = 2
42 + -5y = 16 + -16y + -1(2 + 5y + -9y)

Combine like terms: 5y + -9y = -4y
42 + -5y = 16 + -16y + -1(2 + -4y)
42 + -5y = 16 + -16y + (2 * -1 + -4y * -1)
42 + -5y = 16 + -16y + (-2 + 4y)

Reorder the terms:
42 + -5y = 16 + -2 + -16y + 4y

Combine like terms: 16 + -2 = 14
42 + -5y = 14 + -16y + 4y

Combine like terms: -16y + 4y = -12y
42 + -5y = 14 + -12y

Solving
42 + -5y = 14 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
42 + -5y + 12y = 14 + -12y + 12y

Combine like terms: -5y + 12y = 7y
42 + 7y = 14 + -12y + 12y

Combine like terms: -12y + 12y = 0
42 + 7y = 14 + 0
42 + 7y = 14

Add '-42' to each side of the equation.
42 + -42 + 7y = 14 + -42

Combine like terms: 42 + -42 = 0
0 + 7y = 14 + -42
7y = 14 + -42

Combine like terms: 14 + -42 = -28
7y = -28

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

Simplifying
y = -4

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