4y-2(x+y)-6+3(x-4)-2y+3x=8x-4(3y-2x)-6+3(2x-y-6)

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Solution for 4y-2(x+y)-6+3(x-4)-2y+3x=8x-4(3y-2x)-6+3(2x-y-6) equation: 


Simplifying
4y + -2(x + y) + -6 + 3(x + -4) + -2y + 3x = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)
4y + (x * -2 + y * -2) + -6 + 3(x + -4) + -2y + 3x = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)
4y + (-2x + -2y) + -6 + 3(x + -4) + -2y + 3x = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Reorder the terms:
4y + -2x + -2y + -6 + 3(-4 + x) + -2y + 3x = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)
4y + -2x + -2y + -6 + (-4 * 3 + x * 3) + -2y + 3x = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)
4y + -2x + -2y + -6 + (-12 + 3x) + -2y + 3x = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Reorder the terms:
-6 + -12 + -2x + 3x + 3x + 4y + -2y + -2y = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Combine like terms: -6 + -12 = -18
-18 + -2x + 3x + 3x + 4y + -2y + -2y = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Combine like terms: -2x + 3x = 1x
-18 + 1x + 3x + 4y + -2y + -2y = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Combine like terms: 1x + 3x = 4x
-18 + 4x + 4y + -2y + -2y = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Combine like terms: 4y + -2y = 2y
-18 + 4x + 2y + -2y = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Combine like terms: 2y + -2y = 0
-18 + 4x + 0 = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)
-18 + 4x = 8x + -4(3y + -2x) + -6 + 3(2x + -1y + -6)

Reorder the terms:
-18 + 4x = 8x + -4(-2x + 3y) + -6 + 3(2x + -1y + -6)
-18 + 4x = 8x + (-2x * -4 + 3y * -4) + -6 + 3(2x + -1y + -6)
-18 + 4x = 8x + (8x + -12y) + -6 + 3(2x + -1y + -6)

Reorder the terms:
-18 + 4x = 8x + 8x + -12y + -6 + 3(-6 + 2x + -1y)
-18 + 4x = 8x + 8x + -12y + -6 + (-6 * 3 + 2x * 3 + -1y * 3)
-18 + 4x = 8x + 8x + -12y + -6 + (-18 + 6x + -3y)

Reorder the terms:
-18 + 4x = -6 + -18 + 8x + 8x + 6x + -12y + -3y

Combine like terms: -6 + -18 = -24
-18 + 4x = -24 + 8x + 8x + 6x + -12y + -3y

Combine like terms: 8x + 8x = 16x
-18 + 4x = -24 + 16x + 6x + -12y + -3y

Combine like terms: 16x + 6x = 22x
-18 + 4x = -24 + 22x + -12y + -3y

Combine like terms: -12y + -3y = -15y
-18 + 4x = -24 + 22x + -15y

Solving
-18 + 4x = -24 + 22x + -15y

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-18 + 4x + -22x = -24 + 22x + -22x + -15y

Combine like terms: 4x + -22x = -18x
-18 + -18x = -24 + 22x + -22x + -15y

Combine like terms: 22x + -22x = 0
-18 + -18x = -24 + 0 + -15y
-18 + -18x = -24 + -15y

Add '18' to each side of the equation.
-18 + 18 + -18x = -24 + 18 + -15y

Combine like terms: -18 + 18 = 0
0 + -18x = -24 + 18 + -15y
-18x = -24 + 18 + -15y

Combine like terms: -24 + 18 = -6
-18x = -6 + -15y

Divide each side by '-18'.
x = 0.3333333333 + 0.8333333333y

Simplifying
x = 0.3333333333 + 0.8333333333y

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