3(12y-4)-2(12y-36)=8

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Solution for 3(12y-4)-2(12y-36)=8 equation:


Simplifying
3(12y + -4) + -2(12y + -36) = 8

Reorder the terms:
3(-4 + 12y) + -2(12y + -36) = 8
(-4 * 3 + 12y * 3) + -2(12y + -36) = 8
(-12 + 36y) + -2(12y + -36) = 8

Reorder the terms:
-12 + 36y + -2(-36 + 12y) = 8
-12 + 36y + (-36 * -2 + 12y * -2) = 8
-12 + 36y + (72 + -24y) = 8

Reorder the terms:
-12 + 72 + 36y + -24y = 8

Combine like terms: -12 + 72 = 60
60 + 36y + -24y = 8

Combine like terms: 36y + -24y = 12y
60 + 12y = 8

Solving
60 + 12y = 8

Solving for variable 'y'.

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

Add '-60' to each side of the equation.
60 + -60 + 12y = 8 + -60

Combine like terms: 60 + -60 = 0
0 + 12y = 8 + -60
12y = 8 + -60

Combine like terms: 8 + -60 = -52
12y = -52

Divide each side by '12'.
y = -4.333333333

Simplifying
y = -4.333333333

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