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

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


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

Reorder the terms:
-3(-4 + y) = 2(3x + -6)
(-4 * -3 + y * -3) = 2(3x + -6)
(12 + -3y) = 2(3x + -6)

Reorder the terms:
12 + -3y = 2(-6 + 3x)
12 + -3y = (-6 * 2 + 3x * 2)
12 + -3y = (-12 + 6x)

Solving
12 + -3y = -12 + 6x

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + -3y = -12 + -12 + 6x

Combine like terms: 12 + -12 = 0
0 + -3y = -12 + -12 + 6x
-3y = -12 + -12 + 6x

Combine like terms: -12 + -12 = -24
-3y = -24 + 6x

Divide each side by '-3'.
y = 8 + -2x

Simplifying
y = 8 + -2x

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