16-[2+9y-4(y+2)]=-5(4y-7)-[7(y-1)-20y+24]

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Solution for 16-[2+9y-4(y+2)]=-5(4y-7)-[7(y-1)-20y+24] equation: 


Simplifying
16 + -1[2 + 9y + -4(y + 2)] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]

Reorder the terms:
16 + -1[2 + 9y + -4(2 + y)] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]
16 + -1[2 + 9y + (2 * -4 + y * -4)] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]
16 + -1[2 + 9y + (-8 + -4y)] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]

Reorder the terms:
16 + -1[2 + -8 + 9y + -4y] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]

Combine like terms: 2 + -8 = -6
16 + -1[-6 + 9y + -4y] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]

Combine like terms: 9y + -4y = 5y
16 + -1[-6 + 5y] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]
16 + [-6 * -1 + 5y * -1] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]
16 + [6 + -5y] = -5(4y + -7) + -1[7(y + -1) + -20y + 24]

Combine like terms: 16 + 6 = 22
22 + -5y = -5(4y + -7) + -1[7(y + -1) + -20y + 24]

Reorder the terms:
22 + -5y = -5(-7 + 4y) + -1[7(y + -1) + -20y + 24]
22 + -5y = (-7 * -5 + 4y * -5) + -1[7(y + -1) + -20y + 24]
22 + -5y = (35 + -20y) + -1[7(y + -1) + -20y + 24]

Reorder the terms:
22 + -5y = 35 + -20y + -1[7(-1 + y) + -20y + 24]
22 + -5y = 35 + -20y + -1[(-1 * 7 + y * 7) + -20y + 24]
22 + -5y = 35 + -20y + -1[(-7 + 7y) + -20y + 24]

Reorder the terms:
22 + -5y = 35 + -20y + -1[-7 + 24 + 7y + -20y]

Combine like terms: -7 + 24 = 17
22 + -5y = 35 + -20y + -1[17 + 7y + -20y]

Combine like terms: 7y + -20y = -13y
22 + -5y = 35 + -20y + -1[17 + -13y]
22 + -5y = 35 + -20y + [17 * -1 + -13y * -1]
22 + -5y = 35 + -20y + [-17 + 13y]

Reorder the terms:
22 + -5y = 35 + -17 + -20y + 13y

Combine like terms: 35 + -17 = 18
22 + -5y = 18 + -20y + 13y

Combine like terms: -20y + 13y = -7y
22 + -5y = 18 + -7y

Solving
22 + -5y = 18 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
22 + -5y + 7y = 18 + -7y + 7y

Combine like terms: -5y + 7y = 2y
22 + 2y = 18 + -7y + 7y

Combine like terms: -7y + 7y = 0
22 + 2y = 18 + 0
22 + 2y = 18

Add '-22' to each side of the equation.
22 + -22 + 2y = 18 + -22

Combine like terms: 22 + -22 = 0
0 + 2y = 18 + -22
2y = 18 + -22

Combine like terms: 18 + -22 = -4
2y = -4

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

Simplifying
y = -2

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