24-[4+8y-2(y+5)]=-4(5y-4)-[5(y-1)-13y+9]

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Solution for 24-[4+8y-2(y+5)]=-4(5y-4)-[5(y-1)-13y+9] equation:


Simplifying
24 + -1[4 + 8y + -2(y + 5)] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]

Reorder the terms:
24 + -1[4 + 8y + -2(5 + y)] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]
24 + -1[4 + 8y + (5 * -2 + y * -2)] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]
24 + -1[4 + 8y + (-10 + -2y)] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]

Reorder the terms:
24 + -1[4 + -10 + 8y + -2y] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]

Combine like terms: 4 + -10 = -6
24 + -1[-6 + 8y + -2y] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]

Combine like terms: 8y + -2y = 6y
24 + -1[-6 + 6y] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]
24 + [-6 * -1 + 6y * -1] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]
24 + [6 + -6y] = -4(5y + -4) + -1[5(y + -1) + -13y + 9]

Combine like terms: 24 + 6 = 30
30 + -6y = -4(5y + -4) + -1[5(y + -1) + -13y + 9]

Reorder the terms:
30 + -6y = -4(-4 + 5y) + -1[5(y + -1) + -13y + 9]
30 + -6y = (-4 * -4 + 5y * -4) + -1[5(y + -1) + -13y + 9]
30 + -6y = (16 + -20y) + -1[5(y + -1) + -13y + 9]

Reorder the terms:
30 + -6y = 16 + -20y + -1[5(-1 + y) + -13y + 9]
30 + -6y = 16 + -20y + -1[(-1 * 5 + y * 5) + -13y + 9]
30 + -6y = 16 + -20y + -1[(-5 + 5y) + -13y + 9]

Reorder the terms:
30 + -6y = 16 + -20y + -1[-5 + 9 + 5y + -13y]

Combine like terms: -5 + 9 = 4
30 + -6y = 16 + -20y + -1[4 + 5y + -13y]

Combine like terms: 5y + -13y = -8y
30 + -6y = 16 + -20y + -1[4 + -8y]
30 + -6y = 16 + -20y + [4 * -1 + -8y * -1]
30 + -6y = 16 + -20y + [-4 + 8y]

Reorder the terms:
30 + -6y = 16 + -4 + -20y + 8y

Combine like terms: 16 + -4 = 12
30 + -6y = 12 + -20y + 8y

Combine like terms: -20y + 8y = -12y
30 + -6y = 12 + -12y

Solving
30 + -6y = 12 + -12y

Solving for variable 'y'.

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

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

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

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

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

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

Combine like terms: 12 + -30 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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