50-[2+5y-3(Y+4)]=-2(3y-7)-[9(y-1)-7y+11]

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Solution for 50-[2+5y-3(Y+4)]=-2(3y-7)-[9(y-1)-7y+11] equation: 


Simplifying
50 + -1[2 + 5y + -3(Y + 4)] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]

Reorder the terms:
50 + -1[2 + 5y + -3(4 + Y)] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]
50 + -1[2 + 5y + (4 * -3 + Y * -3)] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]
50 + -1[2 + 5y + (-12 + -3Y)] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]

Reorder the terms:
50 + -1[2 + -12 + -3Y + 5y] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]

Combine like terms: 2 + -12 = -10
50 + -1[-10 + -3Y + 5y] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]
50 + [-10 * -1 + -3Y * -1 + 5y * -1] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]
50 + [10 + 3Y + -5y] = -2(3y + -7) + -1[9(y + -1) + -7y + 11]

Combine like terms: 50 + 10 = 60
60 + 3Y + -5y = -2(3y + -7) + -1[9(y + -1) + -7y + 11]

Reorder the terms:
60 + 3Y + -5y = -2(-7 + 3y) + -1[9(y + -1) + -7y + 11]
60 + 3Y + -5y = (-7 * -2 + 3y * -2) + -1[9(y + -1) + -7y + 11]
60 + 3Y + -5y = (14 + -6y) + -1[9(y + -1) + -7y + 11]

Reorder the terms:
60 + 3Y + -5y = 14 + -6y + -1[9(-1 + y) + -7y + 11]
60 + 3Y + -5y = 14 + -6y + -1[(-1 * 9 + y * 9) + -7y + 11]
60 + 3Y + -5y = 14 + -6y + -1[(-9 + 9y) + -7y + 11]

Reorder the terms:
60 + 3Y + -5y = 14 + -6y + -1[-9 + 11 + 9y + -7y]

Combine like terms: -9 + 11 = 2
60 + 3Y + -5y = 14 + -6y + -1[2 + 9y + -7y]

Combine like terms: 9y + -7y = 2y
60 + 3Y + -5y = 14 + -6y + -1[2 + 2y]
60 + 3Y + -5y = 14 + -6y + [2 * -1 + 2y * -1]
60 + 3Y + -5y = 14 + -6y + [-2 + -2y]

Reorder the terms:
60 + 3Y + -5y = 14 + -2 + -6y + -2y

Combine like terms: 14 + -2 = 12
60 + 3Y + -5y = 12 + -6y + -2y

Combine like terms: -6y + -2y = -8y
60 + 3Y + -5y = 12 + -8y

Solving
60 + 3Y + -5y = 12 + -8y

Solving for variable 'Y'.

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

Add '-60' to each side of the equation.
60 + 3Y + -60 + -5y = 12 + -60 + -8y

Reorder the terms:
60 + -60 + 3Y + -5y = 12 + -60 + -8y

Combine like terms: 60 + -60 = 0
0 + 3Y + -5y = 12 + -60 + -8y
3Y + -5y = 12 + -60 + -8y

Combine like terms: 12 + -60 = -48
3Y + -5y = -48 + -8y

Add '5y' to each side of the equation.
3Y + -5y + 5y = -48 + -8y + 5y

Combine like terms: -5y + 5y = 0
3Y + 0 = -48 + -8y + 5y
3Y = -48 + -8y + 5y

Combine like terms: -8y + 5y = -3y
3Y = -48 + -3y

Divide each side by '3'.
Y = -16 + -1y

Simplifying
Y = -16 + -1y

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