28-[1+8y-2(y+2)]=-4(4y-5)-[5(y-1)-9y+12]

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Solution for 28-[1+8y-2(y+2)]=-4(4y-5)-[5(y-1)-9y+12] equation:


Simplifying
28 + -1[1 + 8y + -2(y + 2)] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]

Reorder the terms:
28 + -1[1 + 8y + -2(2 + y)] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]
28 + -1[1 + 8y + (2 * -2 + y * -2)] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]
28 + -1[1 + 8y + (-4 + -2y)] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]

Reorder the terms:
28 + -1[1 + -4 + 8y + -2y] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]

Combine like terms: 1 + -4 = -3
28 + -1[-3 + 8y + -2y] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]

Combine like terms: 8y + -2y = 6y
28 + -1[-3 + 6y] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]
28 + [-3 * -1 + 6y * -1] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]
28 + [3 + -6y] = -4(4y + -5) + -1[5(y + -1) + -9y + 12]

Combine like terms: 28 + 3 = 31
31 + -6y = -4(4y + -5) + -1[5(y + -1) + -9y + 12]

Reorder the terms:
31 + -6y = -4(-5 + 4y) + -1[5(y + -1) + -9y + 12]
31 + -6y = (-5 * -4 + 4y * -4) + -1[5(y + -1) + -9y + 12]
31 + -6y = (20 + -16y) + -1[5(y + -1) + -9y + 12]

Reorder the terms:
31 + -6y = 20 + -16y + -1[5(-1 + y) + -9y + 12]
31 + -6y = 20 + -16y + -1[(-1 * 5 + y * 5) + -9y + 12]
31 + -6y = 20 + -16y + -1[(-5 + 5y) + -9y + 12]

Reorder the terms:
31 + -6y = 20 + -16y + -1[-5 + 12 + 5y + -9y]

Combine like terms: -5 + 12 = 7
31 + -6y = 20 + -16y + -1[7 + 5y + -9y]

Combine like terms: 5y + -9y = -4y
31 + -6y = 20 + -16y + -1[7 + -4y]
31 + -6y = 20 + -16y + [7 * -1 + -4y * -1]
31 + -6y = 20 + -16y + [-7 + 4y]

Reorder the terms:
31 + -6y = 20 + -7 + -16y + 4y

Combine like terms: 20 + -7 = 13
31 + -6y = 13 + -16y + 4y

Combine like terms: -16y + 4y = -12y
31 + -6y = 13 + -12y

Solving
31 + -6y = 13 + -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.
31 + -6y + 12y = 13 + -12y + 12y

Combine like terms: -6y + 12y = 6y
31 + 6y = 13 + -12y + 12y

Combine like terms: -12y + 12y = 0
31 + 6y = 13 + 0
31 + 6y = 13

Add '-31' to each side of the equation.
31 + -31 + 6y = 13 + -31

Combine like terms: 31 + -31 = 0
0 + 6y = 13 + -31
6y = 13 + -31

Combine like terms: 13 + -31 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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