8(4U-1)-12U=2(7Y-16)-Y

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Solution for 8(4U-1)-12U=2(7Y-16)-Y equation: 


Simplifying
8(4U + -1) + -12U = 2(7Y + -16) + -1Y

Reorder the terms:
8(-1 + 4U) + -12U = 2(7Y + -16) + -1Y
(-1 * 8 + 4U * 8) + -12U = 2(7Y + -16) + -1Y
(-8 + 32U) + -12U = 2(7Y + -16) + -1Y

Combine like terms: 32U + -12U = 20U
-8 + 20U = 2(7Y + -16) + -1Y

Reorder the terms:
-8 + 20U = 2(-16 + 7Y) + -1Y
-8 + 20U = (-16 * 2 + 7Y * 2) + -1Y
-8 + 20U = (-32 + 14Y) + -1Y

Combine like terms: 14Y + -1Y = 13Y
-8 + 20U = -32 + 13Y

Solving
-8 + 20U = -32 + 13Y

Solving for variable 'U'.

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

Add '8' to each side of the equation.
-8 + 8 + 20U = -32 + 8 + 13Y

Combine like terms: -8 + 8 = 0
0 + 20U = -32 + 8 + 13Y
20U = -32 + 8 + 13Y

Combine like terms: -32 + 8 = -24
20U = -24 + 13Y

Divide each side by '20'.
U = -1.2 + 0.65Y

Simplifying
U = -1.2 + 0.65Y

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