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

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


Simplifying
4(y + -2) = 12(2 + -1y)

Reorder the terms:
4(-2 + y) = 12(2 + -1y)
(-2 * 4 + y * 4) = 12(2 + -1y)
(-8 + 4y) = 12(2 + -1y)
-8 + 4y = (2 * 12 + -1y * 12)
-8 + 4y = (24 + -12y)

Solving
-8 + 4y = 24 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
-8 + 4y + 12y = 24 + -12y + 12y

Combine like terms: 4y + 12y = 16y
-8 + 16y = 24 + -12y + 12y

Combine like terms: -12y + 12y = 0
-8 + 16y = 24 + 0
-8 + 16y = 24

Add '8' to each side of the equation.
-8 + 8 + 16y = 24 + 8

Combine like terms: -8 + 8 = 0
0 + 16y = 24 + 8
16y = 24 + 8

Combine like terms: 24 + 8 = 32
16y = 32

Divide each side by '16'.
y = 2

Simplifying
y = 2

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