22-[1+7y-2(y+3)]=3(3y-3)-[8(y-1)-4y+6]

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Solution for 22-[1+7y-2(y+3)]=3(3y-3)-[8(y-1)-4y+6] equation: 


Simplifying
22 + -1[1 + 7y + -2(y + 3)] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]

Reorder the terms:
22 + -1[1 + 7y + -2(3 + y)] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]
22 + -1[1 + 7y + (3 * -2 + y * -2)] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]
22 + -1[1 + 7y + (-6 + -2y)] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]

Reorder the terms:
22 + -1[1 + -6 + 7y + -2y] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]

Combine like terms: 1 + -6 = -5
22 + -1[-5 + 7y + -2y] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]

Combine like terms: 7y + -2y = 5y
22 + -1[-5 + 5y] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]
22 + [-5 * -1 + 5y * -1] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]
22 + [5 + -5y] = 3(3y + -3) + -1[8(y + -1) + -4y + 6]

Combine like terms: 22 + 5 = 27
27 + -5y = 3(3y + -3) + -1[8(y + -1) + -4y + 6]

Reorder the terms:
27 + -5y = 3(-3 + 3y) + -1[8(y + -1) + -4y + 6]
27 + -5y = (-3 * 3 + 3y * 3) + -1[8(y + -1) + -4y + 6]
27 + -5y = (-9 + 9y) + -1[8(y + -1) + -4y + 6]

Reorder the terms:
27 + -5y = -9 + 9y + -1[8(-1 + y) + -4y + 6]
27 + -5y = -9 + 9y + -1[(-1 * 8 + y * 8) + -4y + 6]
27 + -5y = -9 + 9y + -1[(-8 + 8y) + -4y + 6]

Reorder the terms:
27 + -5y = -9 + 9y + -1[-8 + 6 + 8y + -4y]

Combine like terms: -8 + 6 = -2
27 + -5y = -9 + 9y + -1[-2 + 8y + -4y]

Combine like terms: 8y + -4y = 4y
27 + -5y = -9 + 9y + -1[-2 + 4y]
27 + -5y = -9 + 9y + [-2 * -1 + 4y * -1]
27 + -5y = -9 + 9y + [2 + -4y]

Reorder the terms:
27 + -5y = -9 + 2 + 9y + -4y

Combine like terms: -9 + 2 = -7
27 + -5y = -7 + 9y + -4y

Combine like terms: 9y + -4y = 5y
27 + -5y = -7 + 5y

Solving
27 + -5y = -7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
27 + -5y + -5y = -7 + 5y + -5y

Combine like terms: -5y + -5y = -10y
27 + -10y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
27 + -10y = -7 + 0
27 + -10y = -7

Add '-27' to each side of the equation.
27 + -27 + -10y = -7 + -27

Combine like terms: 27 + -27 = 0
0 + -10y = -7 + -27
-10y = -7 + -27

Combine like terms: -7 + -27 = -34
-10y = -34

Divide each side by '-10'.
y = 3.4

Simplifying
y = 3.4

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