-2(2Y-8)-Y=-4(Y-3)

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Solution for -2(2Y-8)-Y=-4(Y-3) equation: 


Simplifying
-2(2Y + -8) + -1Y = -4(Y + -3)

Reorder the terms:
-2(-8 + 2Y) + -1Y = -4(Y + -3)
(-8 * -2 + 2Y * -2) + -1Y = -4(Y + -3)
(16 + -4Y) + -1Y = -4(Y + -3)

Combine like terms: -4Y + -1Y = -5Y
16 + -5Y = -4(Y + -3)

Reorder the terms:
16 + -5Y = -4(-3 + Y)
16 + -5Y = (-3 * -4 + Y * -4)
16 + -5Y = (12 + -4Y)

Solving
16 + -5Y = 12 + -4Y

Solving for variable 'Y'.

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

Add '4Y' to each side of the equation.
16 + -5Y + 4Y = 12 + -4Y + 4Y

Combine like terms: -5Y + 4Y = -1Y
16 + -1Y = 12 + -4Y + 4Y

Combine like terms: -4Y + 4Y = 0
16 + -1Y = 12 + 0
16 + -1Y = 12

Add '-16' to each side of the equation.
16 + -16 + -1Y = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -1Y = 12 + -16
-1Y = 12 + -16

Combine like terms: 12 + -16 = -4
-1Y = -4

Divide each side by '-1'.
Y = 4

Simplifying
Y = 4

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