22-[5+8y-4(y+2)]=-4(2y-4)-[7(y-1)-9y+10]

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Solution for 22-[5+8y-4(y+2)]=-4(2y-4)-[7(y-1)-9y+10] equation:


Simplifying
22 + -1[5 + 8y + -4(y + 2)] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]

Reorder the terms:
22 + -1[5 + 8y + -4(2 + y)] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]
22 + -1[5 + 8y + (2 * -4 + y * -4)] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]
22 + -1[5 + 8y + (-8 + -4y)] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]

Reorder the terms:
22 + -1[5 + -8 + 8y + -4y] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]

Combine like terms: 5 + -8 = -3
22 + -1[-3 + 8y + -4y] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]

Combine like terms: 8y + -4y = 4y
22 + -1[-3 + 4y] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]
22 + [-3 * -1 + 4y * -1] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]
22 + [3 + -4y] = -4(2y + -4) + -1[7(y + -1) + -9y + 10]

Combine like terms: 22 + 3 = 25
25 + -4y = -4(2y + -4) + -1[7(y + -1) + -9y + 10]

Reorder the terms:
25 + -4y = -4(-4 + 2y) + -1[7(y + -1) + -9y + 10]
25 + -4y = (-4 * -4 + 2y * -4) + -1[7(y + -1) + -9y + 10]
25 + -4y = (16 + -8y) + -1[7(y + -1) + -9y + 10]

Reorder the terms:
25 + -4y = 16 + -8y + -1[7(-1 + y) + -9y + 10]
25 + -4y = 16 + -8y + -1[(-1 * 7 + y * 7) + -9y + 10]
25 + -4y = 16 + -8y + -1[(-7 + 7y) + -9y + 10]

Reorder the terms:
25 + -4y = 16 + -8y + -1[-7 + 10 + 7y + -9y]

Combine like terms: -7 + 10 = 3
25 + -4y = 16 + -8y + -1[3 + 7y + -9y]

Combine like terms: 7y + -9y = -2y
25 + -4y = 16 + -8y + -1[3 + -2y]
25 + -4y = 16 + -8y + [3 * -1 + -2y * -1]
25 + -4y = 16 + -8y + [-3 + 2y]

Reorder the terms:
25 + -4y = 16 + -3 + -8y + 2y

Combine like terms: 16 + -3 = 13
25 + -4y = 13 + -8y + 2y

Combine like terms: -8y + 2y = -6y
25 + -4y = 13 + -6y

Solving
25 + -4y = 13 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
25 + -4y + 6y = 13 + -6y + 6y

Combine like terms: -4y + 6y = 2y
25 + 2y = 13 + -6y + 6y

Combine like terms: -6y + 6y = 0
25 + 2y = 13 + 0
25 + 2y = 13

Add '-25' to each side of the equation.
25 + -25 + 2y = 13 + -25

Combine like terms: 25 + -25 = 0
0 + 2y = 13 + -25
2y = 13 + -25

Combine like terms: 13 + -25 = -12
2y = -12

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

Simplifying
y = -6

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