2x+4-2(3+7x)-y+6+3(2x+4)=3(x+2x)+y+2(-6x-6)-3x-3y+26

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Solution for 2x+4-2(3+7x)-y+6+3(2x+4)=3(x+2x)+y+2(-6x-6)-3x-3y+26 equation:


Simplifying
2x + 4 + -2(3 + 7x) + -1y + 6 + 3(2x + 4) = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26
2x + 4 + (3 * -2 + 7x * -2) + -1y + 6 + 3(2x + 4) = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26
2x + 4 + (-6 + -14x) + -1y + 6 + 3(2x + 4) = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Reorder the terms:
2x + 4 + -6 + -14x + -1y + 6 + 3(4 + 2x) = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26
2x + 4 + -6 + -14x + -1y + 6 + (4 * 3 + 2x * 3) = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26
2x + 4 + -6 + -14x + -1y + 6 + (12 + 6x) = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Reorder the terms:
4 + -6 + 6 + 12 + 2x + -14x + 6x + -1y = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Combine like terms: 4 + -6 = -2
-2 + 6 + 12 + 2x + -14x + 6x + -1y = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Combine like terms: -2 + 6 = 4
4 + 12 + 2x + -14x + 6x + -1y = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Combine like terms: 4 + 12 = 16
16 + 2x + -14x + 6x + -1y = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Combine like terms: 2x + -14x = -12x
16 + -12x + 6x + -1y = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Combine like terms: -12x + 6x = -6x
16 + -6x + -1y = 3(x + 2x) + y + 2(-6x + -6) + -3x + -3y + 26

Combine like terms: x + 2x = 3x
16 + -6x + -1y = 3(3x) + y + 2(-6x + -6) + -3x + -3y + 26

Remove parenthesis around (3x)
16 + -6x + -1y = 3 * 3x + y + 2(-6x + -6) + -3x + -3y + 26

Multiply 3 * 3
16 + -6x + -1y = 9x + y + 2(-6x + -6) + -3x + -3y + 26

Reorder the terms:
16 + -6x + -1y = 9x + y + 2(-6 + -6x) + -3x + -3y + 26
16 + -6x + -1y = 9x + y + (-6 * 2 + -6x * 2) + -3x + -3y + 26
16 + -6x + -1y = 9x + y + (-12 + -12x) + -3x + -3y + 26

Reorder the terms:
16 + -6x + -1y = -12 + 26 + 9x + -12x + -3x + y + -3y

Combine like terms: -12 + 26 = 14
16 + -6x + -1y = 14 + 9x + -12x + -3x + y + -3y

Combine like terms: 9x + -12x = -3x
16 + -6x + -1y = 14 + -3x + -3x + y + -3y

Combine like terms: -3x + -3x = -6x
16 + -6x + -1y = 14 + -6x + y + -3y

Combine like terms: y + -3y = -2y
16 + -6x + -1y = 14 + -6x + -2y

Add '6x' to each side of the equation.
16 + -6x + 6x + -1y = 14 + -6x + 6x + -2y

Combine like terms: -6x + 6x = 0
16 + 0 + -1y = 14 + -6x + 6x + -2y
16 + -1y = 14 + -6x + 6x + -2y

Combine like terms: -6x + 6x = 0
16 + -1y = 14 + 0 + -2y
16 + -1y = 14 + -2y

Solving
16 + -1y = 14 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
16 + -1y + 2y = 14 + -2y + 2y

Combine like terms: -1y + 2y = 1y
16 + 1y = 14 + -2y + 2y

Combine like terms: -2y + 2y = 0
16 + 1y = 14 + 0
16 + 1y = 14

Add '-16' to each side of the equation.
16 + -16 + 1y = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 1y = 14 + -16
1y = 14 + -16

Combine like terms: 14 + -16 = -2
1y = -2

Divide each side by '1'.
y = -2

Simplifying
y = -2

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