3x-1(x-4)-[2(x-3)-3(1-2x)]=-y-2

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Solution for 3x-1(x-4)-[2(x-3)-3(1-2x)]=-y-2 equation:


Simplifying
3x + -1(x + -4) + -1[2(x + -3) + -3(1 + -2x)] = -1y + -2

Reorder the terms:
3x + -1(-4 + x) + -1[2(x + -3) + -3(1 + -2x)] = -1y + -2
3x + (-4 * -1 + x * -1) + -1[2(x + -3) + -3(1 + -2x)] = -1y + -2
3x + (4 + -1x) + -1[2(x + -3) + -3(1 + -2x)] = -1y + -2

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

Reorder the terms:
3x + 4 + -1x + -1[-6 + -3 + 2x + 6x] = -1y + -2

Combine like terms: -6 + -3 = -9
3x + 4 + -1x + -1[-9 + 2x + 6x] = -1y + -2

Combine like terms: 2x + 6x = 8x
3x + 4 + -1x + -1[-9 + 8x] = -1y + -2
3x + 4 + -1x + [-9 * -1 + 8x * -1] = -1y + -2
3x + 4 + -1x + [9 + -8x] = -1y + -2

Reorder the terms:
4 + 9 + 3x + -1x + -8x = -1y + -2

Combine like terms: 4 + 9 = 13
13 + 3x + -1x + -8x = -1y + -2

Combine like terms: 3x + -1x = 2x
13 + 2x + -8x = -1y + -2

Combine like terms: 2x + -8x = -6x
13 + -6x = -1y + -2

Reorder the terms:
13 + -6x = -2 + -1y

Solving
13 + -6x = -2 + -1y

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -6x = -2 + -13 + -1y

Combine like terms: 13 + -13 = 0
0 + -6x = -2 + -13 + -1y
-6x = -2 + -13 + -1y

Combine like terms: -2 + -13 = -15
-6x = -15 + -1y

Divide each side by '-6'.
x = 2.5 + 0.1666666667y

Simplifying
x = 2.5 + 0.1666666667y

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