(x+y)-6(x-y)=6

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


Simplifying
(x + y) + -6(x + -1y) = 6

Remove parenthesis around (x + y)
x + y + -6(x + -1y) = 6
x + y + (x * -6 + -1y * -6) = 6
x + y + (-6x + 6y) = 6

Reorder the terms:
x + -6x + y + 6y = 6

Combine like terms: x + -6x = -5x
-5x + y + 6y = 6

Combine like terms: y + 6y = 7y
-5x + 7y = 6

Solving
-5x + 7y = 6

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
-5x + 7y + -7y = 6 + -7y

Combine like terms: 7y + -7y = 0
-5x + 0 = 6 + -7y
-5x = 6 + -7y

Divide each side by '-5'.
x = -1.2 + 1.4y

Simplifying
x = -1.2 + 1.4y

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