13-(3+6y-2(y+5))=-5(2y-3)-(8(y-1)-11y+12)

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Solution for 13-(3+6y-2(y+5))=-5(2y-3)-(8(y-1)-11y+12) equation: 


Simplifying
13 + -1(3 + 6y + -2(y + 5)) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)

Reorder the terms:
13 + -1(3 + 6y + -2(5 + y)) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)
13 + -1(3 + 6y + (5 * -2 + y * -2)) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)
13 + -1(3 + 6y + (-10 + -2y)) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)

Reorder the terms:
13 + -1(3 + -10 + 6y + -2y) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)

Combine like terms: 3 + -10 = -7
13 + -1(-7 + 6y + -2y) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)

Combine like terms: 6y + -2y = 4y
13 + -1(-7 + 4y) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)
13 + (-7 * -1 + 4y * -1) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)
13 + (7 + -4y) = -5(2y + -3) + -1(8(y + -1) + -11y + 12)

Combine like terms: 13 + 7 = 20
20 + -4y = -5(2y + -3) + -1(8(y + -1) + -11y + 12)

Reorder the terms:
20 + -4y = -5(-3 + 2y) + -1(8(y + -1) + -11y + 12)
20 + -4y = (-3 * -5 + 2y * -5) + -1(8(y + -1) + -11y + 12)
20 + -4y = (15 + -10y) + -1(8(y + -1) + -11y + 12)

Reorder the terms:
20 + -4y = 15 + -10y + -1(8(-1 + y) + -11y + 12)
20 + -4y = 15 + -10y + -1((-1 * 8 + y * 8) + -11y + 12)
20 + -4y = 15 + -10y + -1((-8 + 8y) + -11y + 12)

Reorder the terms:
20 + -4y = 15 + -10y + -1(-8 + 12 + 8y + -11y)

Combine like terms: -8 + 12 = 4
20 + -4y = 15 + -10y + -1(4 + 8y + -11y)

Combine like terms: 8y + -11y = -3y
20 + -4y = 15 + -10y + -1(4 + -3y)
20 + -4y = 15 + -10y + (4 * -1 + -3y * -1)
20 + -4y = 15 + -10y + (-4 + 3y)

Reorder the terms:
20 + -4y = 15 + -4 + -10y + 3y

Combine like terms: 15 + -4 = 11
20 + -4y = 11 + -10y + 3y

Combine like terms: -10y + 3y = -7y
20 + -4y = 11 + -7y

Solving
20 + -4y = 11 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
20 + -4y + 7y = 11 + -7y + 7y

Combine like terms: -4y + 7y = 3y
20 + 3y = 11 + -7y + 7y

Combine like terms: -7y + 7y = 0
20 + 3y = 11 + 0
20 + 3y = 11

Add '-20' to each side of the equation.
20 + -20 + 3y = 11 + -20

Combine like terms: 20 + -20 = 0
0 + 3y = 11 + -20
3y = 11 + -20

Combine like terms: 11 + -20 = -9
3y = -9

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

Simplifying
y = -3

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