54-[2+6y-2(y+4)]=-4(y-3)-[7(y-1)-12y+8]

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Solution for 54-[2+6y-2(y+4)]=-4(y-3)-[7(y-1)-12y+8] equation: 


Simplifying
54 + -1[2 + 6y + -2(y + 4)] = -4(y + -3) + -1[7(y + -1) + -12y + 8]

Reorder the terms:
54 + -1[2 + 6y + -2(4 + y)] = -4(y + -3) + -1[7(y + -1) + -12y + 8]
54 + -1[2 + 6y + (4 * -2 + y * -2)] = -4(y + -3) + -1[7(y + -1) + -12y + 8]
54 + -1[2 + 6y + (-8 + -2y)] = -4(y + -3) + -1[7(y + -1) + -12y + 8]

Reorder the terms:
54 + -1[2 + -8 + 6y + -2y] = -4(y + -3) + -1[7(y + -1) + -12y + 8]

Combine like terms: 2 + -8 = -6
54 + -1[-6 + 6y + -2y] = -4(y + -3) + -1[7(y + -1) + -12y + 8]

Combine like terms: 6y + -2y = 4y
54 + -1[-6 + 4y] = -4(y + -3) + -1[7(y + -1) + -12y + 8]
54 + [-6 * -1 + 4y * -1] = -4(y + -3) + -1[7(y + -1) + -12y + 8]
54 + [6 + -4y] = -4(y + -3) + -1[7(y + -1) + -12y + 8]

Combine like terms: 54 + 6 = 60
60 + -4y = -4(y + -3) + -1[7(y + -1) + -12y + 8]

Reorder the terms:
60 + -4y = -4(-3 + y) + -1[7(y + -1) + -12y + 8]
60 + -4y = (-3 * -4 + y * -4) + -1[7(y + -1) + -12y + 8]
60 + -4y = (12 + -4y) + -1[7(y + -1) + -12y + 8]

Reorder the terms:
60 + -4y = 12 + -4y + -1[7(-1 + y) + -12y + 8]
60 + -4y = 12 + -4y + -1[(-1 * 7 + y * 7) + -12y + 8]
60 + -4y = 12 + -4y + -1[(-7 + 7y) + -12y + 8]

Reorder the terms:
60 + -4y = 12 + -4y + -1[-7 + 8 + 7y + -12y]

Combine like terms: -7 + 8 = 1
60 + -4y = 12 + -4y + -1[1 + 7y + -12y]

Combine like terms: 7y + -12y = -5y
60 + -4y = 12 + -4y + -1[1 + -5y]
60 + -4y = 12 + -4y + [1 * -1 + -5y * -1]
60 + -4y = 12 + -4y + [-1 + 5y]

Reorder the terms:
60 + -4y = 12 + -1 + -4y + 5y

Combine like terms: 12 + -1 = 11
60 + -4y = 11 + -4y + 5y

Combine like terms: -4y + 5y = 1y
60 + -4y = 11 + 1y

Solving
60 + -4y = 11 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
60 + -4y + -1y = 11 + 1y + -1y

Combine like terms: -4y + -1y = -5y
60 + -5y = 11 + 1y + -1y

Combine like terms: 1y + -1y = 0
60 + -5y = 11 + 0
60 + -5y = 11

Add '-60' to each side of the equation.
60 + -60 + -5y = 11 + -60

Combine like terms: 60 + -60 = 0
0 + -5y = 11 + -60
-5y = 11 + -60

Combine like terms: 11 + -60 = -49
-5y = -49

Divide each side by '-5'.
y = 9.8

Simplifying
y = 9.8

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