50-(5+5y-2(y+5))=-3(3y-6)-(6(y-1)-5y+11)

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Solution for 50-(5+5y-2(y+5))=-3(3y-6)-(6(y-1)-5y+11) equation: 


Simplifying
50 + -1(5 + 5y + -2(y + 5)) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)

Reorder the terms:
50 + -1(5 + 5y + -2(5 + y)) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)
50 + -1(5 + 5y + (5 * -2 + y * -2)) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)
50 + -1(5 + 5y + (-10 + -2y)) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)

Reorder the terms:
50 + -1(5 + -10 + 5y + -2y) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)

Combine like terms: 5 + -10 = -5
50 + -1(-5 + 5y + -2y) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)

Combine like terms: 5y + -2y = 3y
50 + -1(-5 + 3y) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)
50 + (-5 * -1 + 3y * -1) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)
50 + (5 + -3y) = -3(3y + -6) + -1(6(y + -1) + -5y + 11)

Combine like terms: 50 + 5 = 55
55 + -3y = -3(3y + -6) + -1(6(y + -1) + -5y + 11)

Reorder the terms:
55 + -3y = -3(-6 + 3y) + -1(6(y + -1) + -5y + 11)
55 + -3y = (-6 * -3 + 3y * -3) + -1(6(y + -1) + -5y + 11)
55 + -3y = (18 + -9y) + -1(6(y + -1) + -5y + 11)

Reorder the terms:
55 + -3y = 18 + -9y + -1(6(-1 + y) + -5y + 11)
55 + -3y = 18 + -9y + -1((-1 * 6 + y * 6) + -5y + 11)
55 + -3y = 18 + -9y + -1((-6 + 6y) + -5y + 11)

Reorder the terms:
55 + -3y = 18 + -9y + -1(-6 + 11 + 6y + -5y)

Combine like terms: -6 + 11 = 5
55 + -3y = 18 + -9y + -1(5 + 6y + -5y)

Combine like terms: 6y + -5y = 1y
55 + -3y = 18 + -9y + -1(5 + 1y)
55 + -3y = 18 + -9y + (5 * -1 + 1y * -1)
55 + -3y = 18 + -9y + (-5 + -1y)

Reorder the terms:
55 + -3y = 18 + -5 + -9y + -1y

Combine like terms: 18 + -5 = 13
55 + -3y = 13 + -9y + -1y

Combine like terms: -9y + -1y = -10y
55 + -3y = 13 + -10y

Solving
55 + -3y = 13 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
55 + -3y + 10y = 13 + -10y + 10y

Combine like terms: -3y + 10y = 7y
55 + 7y = 13 + -10y + 10y

Combine like terms: -10y + 10y = 0
55 + 7y = 13 + 0
55 + 7y = 13

Add '-55' to each side of the equation.
55 + -55 + 7y = 13 + -55

Combine like terms: 55 + -55 = 0
0 + 7y = 13 + -55
7y = 13 + -55

Combine like terms: 13 + -55 = -42
7y = -42

Divide each side by '7'.
y = -6

Simplifying
y = -6

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