-(x+y-2)+3(x-y+6)-(x+y-16)=

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Solution for -(x+y-2)+3(x-y+6)-(x+y-16)= equation: 


Simplifying
-1(x + y + -2) + 3(x + -1y + 6) + -1(x + y + -16) = 0

Reorder the terms:
-1(-2 + x + y) + 3(x + -1y + 6) + -1(x + y + -16) = 0
(-2 * -1 + x * -1 + y * -1) + 3(x + -1y + 6) + -1(x + y + -16) = 0
(2 + -1x + -1y) + 3(x + -1y + 6) + -1(x + y + -16) = 0

Reorder the terms:
2 + -1x + -1y + 3(6 + x + -1y) + -1(x + y + -16) = 0
2 + -1x + -1y + (6 * 3 + x * 3 + -1y * 3) + -1(x + y + -16) = 0
2 + -1x + -1y + (18 + 3x + -3y) + -1(x + y + -16) = 0

Reorder the terms:
2 + -1x + -1y + 18 + 3x + -3y + -1(-16 + x + y) = 0
2 + -1x + -1y + 18 + 3x + -3y + (-16 * -1 + x * -1 + y * -1) = 0
2 + -1x + -1y + 18 + 3x + -3y + (16 + -1x + -1y) = 0

Reorder the terms:
2 + 18 + 16 + -1x + 3x + -1x + -1y + -3y + -1y = 0

Combine like terms: 2 + 18 = 20
20 + 16 + -1x + 3x + -1x + -1y + -3y + -1y = 0

Combine like terms: 20 + 16 = 36
36 + -1x + 3x + -1x + -1y + -3y + -1y = 0

Combine like terms: -1x + 3x = 2x
36 + 2x + -1x + -1y + -3y + -1y = 0

Combine like terms: 2x + -1x = 1x
36 + 1x + -1y + -3y + -1y = 0

Combine like terms: -1y + -3y = -4y
36 + 1x + -4y + -1y = 0

Combine like terms: -4y + -1y = -5y
36 + 1x + -5y = 0

Solving
36 + 1x + -5y = 0

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + 1x + -36 + -5y = 0 + -36

Reorder the terms:
36 + -36 + 1x + -5y = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 1x + -5y = 0 + -36
1x + -5y = 0 + -36

Combine like terms: 0 + -36 = -36
1x + -5y = -36

Add '5y' to each side of the equation.
1x + -5y + 5y = -36 + 5y

Combine like terms: -5y + 5y = 0
1x + 0 = -36 + 5y
1x = -36 + 5y

Divide each side by '1'.
x = -36 + 5y

Simplifying
x = -36 + 5y

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