17-(4+7y-2(y+5))=-3(3y-4)-(7(y-1)-6y+6)

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Solution for 17-(4+7y-2(y+5))=-3(3y-4)-(7(y-1)-6y+6) equation: 


Simplifying
17 + -1(4 + 7y + -2(y + 5)) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)

Reorder the terms:
17 + -1(4 + 7y + -2(5 + y)) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)
17 + -1(4 + 7y + (5 * -2 + y * -2)) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)
17 + -1(4 + 7y + (-10 + -2y)) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)

Reorder the terms:
17 + -1(4 + -10 + 7y + -2y) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)

Combine like terms: 4 + -10 = -6
17 + -1(-6 + 7y + -2y) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)

Combine like terms: 7y + -2y = 5y
17 + -1(-6 + 5y) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)
17 + (-6 * -1 + 5y * -1) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)
17 + (6 + -5y) = -3(3y + -4) + -1(7(y + -1) + -6y + 6)

Combine like terms: 17 + 6 = 23
23 + -5y = -3(3y + -4) + -1(7(y + -1) + -6y + 6)

Reorder the terms:
23 + -5y = -3(-4 + 3y) + -1(7(y + -1) + -6y + 6)
23 + -5y = (-4 * -3 + 3y * -3) + -1(7(y + -1) + -6y + 6)
23 + -5y = (12 + -9y) + -1(7(y + -1) + -6y + 6)

Reorder the terms:
23 + -5y = 12 + -9y + -1(7(-1 + y) + -6y + 6)
23 + -5y = 12 + -9y + -1((-1 * 7 + y * 7) + -6y + 6)
23 + -5y = 12 + -9y + -1((-7 + 7y) + -6y + 6)

Reorder the terms:
23 + -5y = 12 + -9y + -1(-7 + 6 + 7y + -6y)

Combine like terms: -7 + 6 = -1
23 + -5y = 12 + -9y + -1(-1 + 7y + -6y)

Combine like terms: 7y + -6y = 1y
23 + -5y = 12 + -9y + -1(-1 + 1y)
23 + -5y = 12 + -9y + (-1 * -1 + 1y * -1)
23 + -5y = 12 + -9y + (1 + -1y)

Reorder the terms:
23 + -5y = 12 + 1 + -9y + -1y

Combine like terms: 12 + 1 = 13
23 + -5y = 13 + -9y + -1y

Combine like terms: -9y + -1y = -10y
23 + -5y = 13 + -10y

Solving
23 + -5y = 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.
23 + -5y + 10y = 13 + -10y + 10y

Combine like terms: -5y + 10y = 5y
23 + 5y = 13 + -10y + 10y

Combine like terms: -10y + 10y = 0
23 + 5y = 13 + 0
23 + 5y = 13

Add '-23' to each side of the equation.
23 + -23 + 5y = 13 + -23

Combine like terms: 23 + -23 = 0
0 + 5y = 13 + -23
5y = 13 + -23

Combine like terms: 13 + -23 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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