14-[4+6y-4(y+2)]=-2(5y-4)-[6(y-1)-12y+2]

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Solution for 14-[4+6y-4(y+2)]=-2(5y-4)-[6(y-1)-12y+2] equation:


Simplifying
14 + -1[4 + 6y + -4(y + 2)] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]

Reorder the terms:
14 + -1[4 + 6y + -4(2 + y)] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]
14 + -1[4 + 6y + (2 * -4 + y * -4)] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]
14 + -1[4 + 6y + (-8 + -4y)] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]

Reorder the terms:
14 + -1[4 + -8 + 6y + -4y] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]

Combine like terms: 4 + -8 = -4
14 + -1[-4 + 6y + -4y] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]

Combine like terms: 6y + -4y = 2y
14 + -1[-4 + 2y] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]
14 + [-4 * -1 + 2y * -1] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]
14 + [4 + -2y] = -2(5y + -4) + -1[6(y + -1) + -12y + 2]

Combine like terms: 14 + 4 = 18
18 + -2y = -2(5y + -4) + -1[6(y + -1) + -12y + 2]

Reorder the terms:
18 + -2y = -2(-4 + 5y) + -1[6(y + -1) + -12y + 2]
18 + -2y = (-4 * -2 + 5y * -2) + -1[6(y + -1) + -12y + 2]
18 + -2y = (8 + -10y) + -1[6(y + -1) + -12y + 2]

Reorder the terms:
18 + -2y = 8 + -10y + -1[6(-1 + y) + -12y + 2]
18 + -2y = 8 + -10y + -1[(-1 * 6 + y * 6) + -12y + 2]
18 + -2y = 8 + -10y + -1[(-6 + 6y) + -12y + 2]

Reorder the terms:
18 + -2y = 8 + -10y + -1[-6 + 2 + 6y + -12y]

Combine like terms: -6 + 2 = -4
18 + -2y = 8 + -10y + -1[-4 + 6y + -12y]

Combine like terms: 6y + -12y = -6y
18 + -2y = 8 + -10y + -1[-4 + -6y]
18 + -2y = 8 + -10y + [-4 * -1 + -6y * -1]
18 + -2y = 8 + -10y + [4 + 6y]

Reorder the terms:
18 + -2y = 8 + 4 + -10y + 6y

Combine like terms: 8 + 4 = 12
18 + -2y = 12 + -10y + 6y

Combine like terms: -10y + 6y = -4y
18 + -2y = 12 + -4y

Solving
18 + -2y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
18 + -2y + 4y = 12 + -4y + 4y

Combine like terms: -2y + 4y = 2y
18 + 2y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
18 + 2y = 12 + 0
18 + 2y = 12

Add '-18' to each side of the equation.
18 + -18 + 2y = 12 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 12 + -18
2y = 12 + -18

Combine like terms: 12 + -18 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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