-6(y-2)=6y-12

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Solution for -6(y-2)=6y-12 equation:


Simplifying
-6(y + -2) = 6y + -12

Reorder the terms:
-6(-2 + y) = 6y + -12
(-2 * -6 + y * -6) = 6y + -12
(12 + -6y) = 6y + -12

Reorder the terms:
12 + -6y = -12 + 6y

Solving
12 + -6y = -12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
12 + -6y + -6y = -12 + 6y + -6y

Combine like terms: -6y + -6y = -12y
12 + -12y = -12 + 6y + -6y

Combine like terms: 6y + -6y = 0
12 + -12y = -12 + 0
12 + -12y = -12

Add '-12' to each side of the equation.
12 + -12 + -12y = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -12y = -12 + -12
-12y = -12 + -12

Combine like terms: -12 + -12 = -24
-12y = -24

Divide each side by '-12'.
y = 2

Simplifying
y = 2

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