-8-[2+5y-2(y+2)]=-5(2y-5)-[8(y-1)-3y+3]

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Solution for -8-[2+5y-2(y+2)]=-5(2y-5)-[8(y-1)-3y+3] equation:


Simplifying
-8 + -1[2 + 5y + -2(y + 2)] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]

Reorder the terms:
-8 + -1[2 + 5y + -2(2 + y)] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]
-8 + -1[2 + 5y + (2 * -2 + y * -2)] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]
-8 + -1[2 + 5y + (-4 + -2y)] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]

Reorder the terms:
-8 + -1[2 + -4 + 5y + -2y] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]

Combine like terms: 2 + -4 = -2
-8 + -1[-2 + 5y + -2y] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]

Combine like terms: 5y + -2y = 3y
-8 + -1[-2 + 3y] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]
-8 + [-2 * -1 + 3y * -1] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]
-8 + [2 + -3y] = -5(2y + -5) + -1[8(y + -1) + -3y + 3]

Combine like terms: -8 + 2 = -6
-6 + -3y = -5(2y + -5) + -1[8(y + -1) + -3y + 3]

Reorder the terms:
-6 + -3y = -5(-5 + 2y) + -1[8(y + -1) + -3y + 3]
-6 + -3y = (-5 * -5 + 2y * -5) + -1[8(y + -1) + -3y + 3]
-6 + -3y = (25 + -10y) + -1[8(y + -1) + -3y + 3]

Reorder the terms:
-6 + -3y = 25 + -10y + -1[8(-1 + y) + -3y + 3]
-6 + -3y = 25 + -10y + -1[(-1 * 8 + y * 8) + -3y + 3]
-6 + -3y = 25 + -10y + -1[(-8 + 8y) + -3y + 3]

Reorder the terms:
-6 + -3y = 25 + -10y + -1[-8 + 3 + 8y + -3y]

Combine like terms: -8 + 3 = -5
-6 + -3y = 25 + -10y + -1[-5 + 8y + -3y]

Combine like terms: 8y + -3y = 5y
-6 + -3y = 25 + -10y + -1[-5 + 5y]
-6 + -3y = 25 + -10y + [-5 * -1 + 5y * -1]
-6 + -3y = 25 + -10y + [5 + -5y]

Reorder the terms:
-6 + -3y = 25 + 5 + -10y + -5y

Combine like terms: 25 + 5 = 30
-6 + -3y = 30 + -10y + -5y

Combine like terms: -10y + -5y = -15y
-6 + -3y = 30 + -15y

Solving
-6 + -3y = 30 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
-6 + -3y + 15y = 30 + -15y + 15y

Combine like terms: -3y + 15y = 12y
-6 + 12y = 30 + -15y + 15y

Combine like terms: -15y + 15y = 0
-6 + 12y = 30 + 0
-6 + 12y = 30

Add '6' to each side of the equation.
-6 + 6 + 12y = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 12y = 30 + 6
12y = 30 + 6

Combine like terms: 30 + 6 = 36
12y = 36

Divide each side by '12'.
y = 3

Simplifying
y = 3

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