26-[5+8y-(y+3)]=-4(3y-3)-[8(y-1)-11y+2]

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Solution for 26-[5+8y-(y+3)]=-4(3y-3)-[8(y-1)-11y+2] equation:


Simplifying
26 + -1[5 + 8y + -1(y + 3)] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]

Reorder the terms:
26 + -1[5 + 8y + -1(3 + y)] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]
26 + -1[5 + 8y + (3 * -1 + y * -1)] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]
26 + -1[5 + 8y + (-3 + -1y)] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]

Reorder the terms:
26 + -1[5 + -3 + 8y + -1y] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]

Combine like terms: 5 + -3 = 2
26 + -1[2 + 8y + -1y] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]

Combine like terms: 8y + -1y = 7y
26 + -1[2 + 7y] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]
26 + [2 * -1 + 7y * -1] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]
26 + [-2 + -7y] = -4(3y + -3) + -1[8(y + -1) + -11y + 2]

Combine like terms: 26 + -2 = 24
24 + -7y = -4(3y + -3) + -1[8(y + -1) + -11y + 2]

Reorder the terms:
24 + -7y = -4(-3 + 3y) + -1[8(y + -1) + -11y + 2]
24 + -7y = (-3 * -4 + 3y * -4) + -1[8(y + -1) + -11y + 2]
24 + -7y = (12 + -12y) + -1[8(y + -1) + -11y + 2]

Reorder the terms:
24 + -7y = 12 + -12y + -1[8(-1 + y) + -11y + 2]
24 + -7y = 12 + -12y + -1[(-1 * 8 + y * 8) + -11y + 2]
24 + -7y = 12 + -12y + -1[(-8 + 8y) + -11y + 2]

Reorder the terms:
24 + -7y = 12 + -12y + -1[-8 + 2 + 8y + -11y]

Combine like terms: -8 + 2 = -6
24 + -7y = 12 + -12y + -1[-6 + 8y + -11y]

Combine like terms: 8y + -11y = -3y
24 + -7y = 12 + -12y + -1[-6 + -3y]
24 + -7y = 12 + -12y + [-6 * -1 + -3y * -1]
24 + -7y = 12 + -12y + [6 + 3y]

Reorder the terms:
24 + -7y = 12 + 6 + -12y + 3y

Combine like terms: 12 + 6 = 18
24 + -7y = 18 + -12y + 3y

Combine like terms: -12y + 3y = -9y
24 + -7y = 18 + -9y

Solving
24 + -7y = 18 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
24 + -7y + 9y = 18 + -9y + 9y

Combine like terms: -7y + 9y = 2y
24 + 2y = 18 + -9y + 9y

Combine like terms: -9y + 9y = 0
24 + 2y = 18 + 0
24 + 2y = 18

Add '-24' to each side of the equation.
24 + -24 + 2y = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 2y = 18 + -24
2y = 18 + -24

Combine like terms: 18 + -24 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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