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Verified Answer :

In terms of factoring,
6x - 6y
6(x - y).

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Simplifying
6x + 6y = 0

Solving
6x + 6y = 0

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
6x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
6x + 0 = 0 + -6y
6x = 0 + -6y
Remove the zero:
6x = -6y

Divide each side by '6'.
x = -1y

Simplifying
x = -1y