(3x+4y)-(2y-6x)=16

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Solution for (3x+4y)-(2y-6x)=16 equation:


Simplifying
(3x + 4y) + -1(2y + -6x) = 16

Remove parenthesis around (3x + 4y)
3x + 4y + -1(2y + -6x) = 16

Reorder the terms:
3x + 4y + -1(-6x + 2y) = 16
3x + 4y + (-6x * -1 + 2y * -1) = 16
3x + 4y + (6x + -2y) = 16

Reorder the terms:
3x + 6x + 4y + -2y = 16

Combine like terms: 3x + 6x = 9x
9x + 4y + -2y = 16

Combine like terms: 4y + -2y = 2y
9x + 2y = 16

Solving
9x + 2y = 16

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
9x + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0
9x + 0 = 16 + -2y
9x = 16 + -2y

Divide each side by '9'.
x = 1.777777778 + -0.2222222222y

Simplifying
x = 1.777777778 + -0.2222222222y

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