8-[2+10y-4(y+4)]=-4(3y-3)-[7(y-1)-11y+5]

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Solution for 8-[2+10y-4(y+4)]=-4(3y-3)-[7(y-1)-11y+5] equation: 


Simplifying
8 + -1[2 + 10y + -4(y + 4)] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]

Reorder the terms:
8 + -1[2 + 10y + -4(4 + y)] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]
8 + -1[2 + 10y + (4 * -4 + y * -4)] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]
8 + -1[2 + 10y + (-16 + -4y)] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]

Reorder the terms:
8 + -1[2 + -16 + 10y + -4y] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]

Combine like terms: 2 + -16 = -14
8 + -1[-14 + 10y + -4y] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]

Combine like terms: 10y + -4y = 6y
8 + -1[-14 + 6y] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]
8 + [-14 * -1 + 6y * -1] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]
8 + [14 + -6y] = -4(3y + -3) + -1[7(y + -1) + -11y + 5]

Combine like terms: 8 + 14 = 22
22 + -6y = -4(3y + -3) + -1[7(y + -1) + -11y + 5]

Reorder the terms:
22 + -6y = -4(-3 + 3y) + -1[7(y + -1) + -11y + 5]
22 + -6y = (-3 * -4 + 3y * -4) + -1[7(y + -1) + -11y + 5]
22 + -6y = (12 + -12y) + -1[7(y + -1) + -11y + 5]

Reorder the terms:
22 + -6y = 12 + -12y + -1[7(-1 + y) + -11y + 5]
22 + -6y = 12 + -12y + -1[(-1 * 7 + y * 7) + -11y + 5]
22 + -6y = 12 + -12y + -1[(-7 + 7y) + -11y + 5]

Reorder the terms:
22 + -6y = 12 + -12y + -1[-7 + 5 + 7y + -11y]

Combine like terms: -7 + 5 = -2
22 + -6y = 12 + -12y + -1[-2 + 7y + -11y]

Combine like terms: 7y + -11y = -4y
22 + -6y = 12 + -12y + -1[-2 + -4y]
22 + -6y = 12 + -12y + [-2 * -1 + -4y * -1]
22 + -6y = 12 + -12y + [2 + 4y]

Reorder the terms:
22 + -6y = 12 + 2 + -12y + 4y

Combine like terms: 12 + 2 = 14
22 + -6y = 14 + -12y + 4y

Combine like terms: -12y + 4y = -8y
22 + -6y = 14 + -8y

Solving
22 + -6y = 14 + -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.
22 + -6y + 8y = 14 + -8y + 8y

Combine like terms: -6y + 8y = 2y
22 + 2y = 14 + -8y + 8y

Combine like terms: -8y + 8y = 0
22 + 2y = 14 + 0
22 + 2y = 14

Add '-22' to each side of the equation.
22 + -22 + 2y = 14 + -22

Combine like terms: 22 + -22 = 0
0 + 2y = 14 + -22
2y = 14 + -22

Combine like terms: 14 + -22 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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