25-(2+5y-3(y+2))=-3(2y-5)-(5(y-1)-3y+3)

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Solution for 25-(2+5y-3(y+2))=-3(2y-5)-(5(y-1)-3y+3) equation: 


Simplifying
25 + -1(2 + 5y + -3(y + 2)) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)

Reorder the terms:
25 + -1(2 + 5y + -3(2 + y)) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)
25 + -1(2 + 5y + (2 * -3 + y * -3)) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)
25 + -1(2 + 5y + (-6 + -3y)) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)

Reorder the terms:
25 + -1(2 + -6 + 5y + -3y) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)

Combine like terms: 2 + -6 = -4
25 + -1(-4 + 5y + -3y) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)

Combine like terms: 5y + -3y = 2y
25 + -1(-4 + 2y) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)
25 + (-4 * -1 + 2y * -1) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)
25 + (4 + -2y) = -3(2y + -5) + -1(5(y + -1) + -3y + 3)

Combine like terms: 25 + 4 = 29
29 + -2y = -3(2y + -5) + -1(5(y + -1) + -3y + 3)

Reorder the terms:
29 + -2y = -3(-5 + 2y) + -1(5(y + -1) + -3y + 3)
29 + -2y = (-5 * -3 + 2y * -3) + -1(5(y + -1) + -3y + 3)
29 + -2y = (15 + -6y) + -1(5(y + -1) + -3y + 3)

Reorder the terms:
29 + -2y = 15 + -6y + -1(5(-1 + y) + -3y + 3)
29 + -2y = 15 + -6y + -1((-1 * 5 + y * 5) + -3y + 3)
29 + -2y = 15 + -6y + -1((-5 + 5y) + -3y + 3)

Reorder the terms:
29 + -2y = 15 + -6y + -1(-5 + 3 + 5y + -3y)

Combine like terms: -5 + 3 = -2
29 + -2y = 15 + -6y + -1(-2 + 5y + -3y)

Combine like terms: 5y + -3y = 2y
29 + -2y = 15 + -6y + -1(-2 + 2y)
29 + -2y = 15 + -6y + (-2 * -1 + 2y * -1)
29 + -2y = 15 + -6y + (2 + -2y)

Reorder the terms:
29 + -2y = 15 + 2 + -6y + -2y

Combine like terms: 15 + 2 = 17
29 + -2y = 17 + -6y + -2y

Combine like terms: -6y + -2y = -8y
29 + -2y = 17 + -8y

Solving
29 + -2y = 17 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
29 + -2y + 8y = 17 + -8y + 8y

Combine like terms: -2y + 8y = 6y
29 + 6y = 17 + -8y + 8y

Combine like terms: -8y + 8y = 0
29 + 6y = 17 + 0
29 + 6y = 17

Add '-29' to each side of the equation.
29 + -29 + 6y = 17 + -29

Combine like terms: 29 + -29 = 0
0 + 6y = 17 + -29
6y = 17 + -29

Combine like terms: 17 + -29 = -12
6y = -12

Divide each side by '6'.
y = -2

Simplifying
y = -2

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