2(12-6y)=6(y-4)-6y

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Solution for 2(12-6y)=6(y-4)-6y equation:


Simplifying
2(12 + -6y) = 6(y + -4) + -6y
(12 * 2 + -6y * 2) = 6(y + -4) + -6y
(24 + -12y) = 6(y + -4) + -6y

Reorder the terms:
24 + -12y = 6(-4 + y) + -6y
24 + -12y = (-4 * 6 + y * 6) + -6y
24 + -12y = (-24 + 6y) + -6y

Combine like terms: 6y + -6y = 0
24 + -12y = -24 + 0
24 + -12y = -24

Solving
24 + -12y = -24

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + -12y = -24 + -24

Combine like terms: 24 + -24 = 0
0 + -12y = -24 + -24
-12y = -24 + -24

Combine like terms: -24 + -24 = -48
-12y = -48

Divide each side by '-12'.
y = 4

Simplifying
y = 4

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