36-(5+7y-2(y+3))=-4(2y-5)-(7(y-1)-8y+8)

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Solution for 36-(5+7y-2(y+3))=-4(2y-5)-(7(y-1)-8y+8) equation: 


Simplifying
36 + -1(5 + 7y + -2(y + 3)) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)

Reorder the terms:
36 + -1(5 + 7y + -2(3 + y)) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)
36 + -1(5 + 7y + (3 * -2 + y * -2)) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)
36 + -1(5 + 7y + (-6 + -2y)) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)

Reorder the terms:
36 + -1(5 + -6 + 7y + -2y) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)

Combine like terms: 5 + -6 = -1
36 + -1(-1 + 7y + -2y) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)

Combine like terms: 7y + -2y = 5y
36 + -1(-1 + 5y) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)
36 + (-1 * -1 + 5y * -1) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)
36 + (1 + -5y) = -4(2y + -5) + -1(7(y + -1) + -8y + 8)

Combine like terms: 36 + 1 = 37
37 + -5y = -4(2y + -5) + -1(7(y + -1) + -8y + 8)

Reorder the terms:
37 + -5y = -4(-5 + 2y) + -1(7(y + -1) + -8y + 8)
37 + -5y = (-5 * -4 + 2y * -4) + -1(7(y + -1) + -8y + 8)
37 + -5y = (20 + -8y) + -1(7(y + -1) + -8y + 8)

Reorder the terms:
37 + -5y = 20 + -8y + -1(7(-1 + y) + -8y + 8)
37 + -5y = 20 + -8y + -1((-1 * 7 + y * 7) + -8y + 8)
37 + -5y = 20 + -8y + -1((-7 + 7y) + -8y + 8)

Reorder the terms:
37 + -5y = 20 + -8y + -1(-7 + 8 + 7y + -8y)

Combine like terms: -7 + 8 = 1
37 + -5y = 20 + -8y + -1(1 + 7y + -8y)

Combine like terms: 7y + -8y = -1y
37 + -5y = 20 + -8y + -1(1 + -1y)
37 + -5y = 20 + -8y + (1 * -1 + -1y * -1)
37 + -5y = 20 + -8y + (-1 + 1y)

Reorder the terms:
37 + -5y = 20 + -1 + -8y + 1y

Combine like terms: 20 + -1 = 19
37 + -5y = 19 + -8y + 1y

Combine like terms: -8y + 1y = -7y
37 + -5y = 19 + -7y

Solving
37 + -5y = 19 + -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.
37 + -5y + 7y = 19 + -7y + 7y

Combine like terms: -5y + 7y = 2y
37 + 2y = 19 + -7y + 7y

Combine like terms: -7y + 7y = 0
37 + 2y = 19 + 0
37 + 2y = 19

Add '-37' to each side of the equation.
37 + -37 + 2y = 19 + -37

Combine like terms: 37 + -37 = 0
0 + 2y = 19 + -37
2y = 19 + -37

Combine like terms: 19 + -37 = -18
2y = -18

Divide each side by '2'.
y = -9

Simplifying
y = -9

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