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

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


Simplifying
(4y + 7y + -6) + -1(3x + 2x + -6) + -1(-3x + -2) = 0

Reorder the terms:
(-6 + 4y + 7y) + -1(3x + 2x + -6) + -1(-3x + -2) = 0

Combine like terms: 4y + 7y = 11y
(-6 + 11y) + -1(3x + 2x + -6) + -1(-3x + -2) = 0

Remove parenthesis around (-6 + 11y)
-6 + 11y + -1(3x + 2x + -6) + -1(-3x + -2) = 0

Reorder the terms:
-6 + 11y + -1(-6 + 3x + 2x) + -1(-3x + -2) = 0

Combine like terms: 3x + 2x = 5x
-6 + 11y + -1(-6 + 5x) + -1(-3x + -2) = 0
-6 + 11y + (-6 * -1 + 5x * -1) + -1(-3x + -2) = 0
-6 + 11y + (6 + -5x) + -1(-3x + -2) = 0

Reorder the terms:
-6 + 11y + 6 + -5x + -1(-2 + -3x) = 0
-6 + 11y + 6 + -5x + (-2 * -1 + -3x * -1) = 0
-6 + 11y + 6 + -5x + (2 + 3x) = 0

Reorder the terms:
-6 + 6 + 2 + -5x + 3x + 11y = 0

Combine like terms: -6 + 6 = 0
0 + 2 + -5x + 3x + 11y = 0
2 + -5x + 3x + 11y = 0

Combine like terms: -5x + 3x = -2x
2 + -2x + 11y = 0

Solving
2 + -2x + 11y = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2x + -2 + 11y = 0 + -2

Reorder the terms:
2 + -2 + -2x + 11y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2x + 11y = 0 + -2
-2x + 11y = 0 + -2

Combine like terms: 0 + -2 = -2
-2x + 11y = -2

Add '-11y' to each side of the equation.
-2x + 11y + -11y = -2 + -11y

Combine like terms: 11y + -11y = 0
-2x + 0 = -2 + -11y
-2x = -2 + -11y

Divide each side by '-2'.
x = 1 + 5.5y

Simplifying
x = 1 + 5.5y

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