39-[2+7y-2(y+5)]=-5(3y-6)-[7(y-1)-13y+18]

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Solution for 39-[2+7y-2(y+5)]=-5(3y-6)-[7(y-1)-13y+18] equation:


Simplifying
39 + -1[2 + 7y + -2(y + 5)] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]

Reorder the terms:
39 + -1[2 + 7y + -2(5 + y)] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]
39 + -1[2 + 7y + (5 * -2 + y * -2)] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]
39 + -1[2 + 7y + (-10 + -2y)] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]

Reorder the terms:
39 + -1[2 + -10 + 7y + -2y] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]

Combine like terms: 2 + -10 = -8
39 + -1[-8 + 7y + -2y] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]

Combine like terms: 7y + -2y = 5y
39 + -1[-8 + 5y] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]
39 + [-8 * -1 + 5y * -1] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]
39 + [8 + -5y] = -5(3y + -6) + -1[7(y + -1) + -13y + 18]

Combine like terms: 39 + 8 = 47
47 + -5y = -5(3y + -6) + -1[7(y + -1) + -13y + 18]

Reorder the terms:
47 + -5y = -5(-6 + 3y) + -1[7(y + -1) + -13y + 18]
47 + -5y = (-6 * -5 + 3y * -5) + -1[7(y + -1) + -13y + 18]
47 + -5y = (30 + -15y) + -1[7(y + -1) + -13y + 18]

Reorder the terms:
47 + -5y = 30 + -15y + -1[7(-1 + y) + -13y + 18]
47 + -5y = 30 + -15y + -1[(-1 * 7 + y * 7) + -13y + 18]
47 + -5y = 30 + -15y + -1[(-7 + 7y) + -13y + 18]

Reorder the terms:
47 + -5y = 30 + -15y + -1[-7 + 18 + 7y + -13y]

Combine like terms: -7 + 18 = 11
47 + -5y = 30 + -15y + -1[11 + 7y + -13y]

Combine like terms: 7y + -13y = -6y
47 + -5y = 30 + -15y + -1[11 + -6y]
47 + -5y = 30 + -15y + [11 * -1 + -6y * -1]
47 + -5y = 30 + -15y + [-11 + 6y]

Reorder the terms:
47 + -5y = 30 + -11 + -15y + 6y

Combine like terms: 30 + -11 = 19
47 + -5y = 19 + -15y + 6y

Combine like terms: -15y + 6y = -9y
47 + -5y = 19 + -9y

Solving
47 + -5y = 19 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
47 + -5y + 9y = 19 + -9y + 9y

Combine like terms: -5y + 9y = 4y
47 + 4y = 19 + -9y + 9y

Combine like terms: -9y + 9y = 0
47 + 4y = 19 + 0
47 + 4y = 19

Add '-47' to each side of the equation.
47 + -47 + 4y = 19 + -47

Combine like terms: 47 + -47 = 0
0 + 4y = 19 + -47
4y = 19 + -47

Combine like terms: 19 + -47 = -28
4y = -28

Divide each side by '4'.
y = -7

Simplifying
y = -7

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