(Y-12)+(6x-32)=(3y-8)+(2x-20)

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Solution for (Y-12)+(6x-32)=(3y-8)+(2x-20) equation: 


Simplifying
(Y + -12) + (6x + -32) = (3y + -8) + (2x + -20)

Reorder the terms:
(-12 + Y) + (6x + -32) = (3y + -8) + (2x + -20)

Remove parenthesis around (-12 + Y)
-12 + Y + (6x + -32) = (3y + -8) + (2x + -20)

Reorder the terms:
-12 + Y + (-32 + 6x) = (3y + -8) + (2x + -20)

Remove parenthesis around (-32 + 6x)
-12 + Y + -32 + 6x = (3y + -8) + (2x + -20)

Reorder the terms:
-12 + -32 + Y + 6x = (3y + -8) + (2x + -20)

Combine like terms: -12 + -32 = -44
-44 + Y + 6x = (3y + -8) + (2x + -20)

Reorder the terms:
-44 + Y + 6x = (-8 + 3y) + (2x + -20)

Remove parenthesis around (-8 + 3y)
-44 + Y + 6x = -8 + 3y + (2x + -20)

Reorder the terms:
-44 + Y + 6x = -8 + 3y + (-20 + 2x)

Remove parenthesis around (-20 + 2x)
-44 + Y + 6x = -8 + 3y + -20 + 2x

Reorder the terms:
-44 + Y + 6x = -8 + -20 + 2x + 3y

Combine like terms: -8 + -20 = -28
-44 + Y + 6x = -28 + 2x + 3y

Solving
-44 + Y + 6x = -28 + 2x + 3y

Solving for variable 'Y'.

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

Add '44' to each side of the equation.
-44 + Y + 44 + 6x = -28 + 2x + 44 + 3y

Reorder the terms:
-44 + 44 + Y + 6x = -28 + 2x + 44 + 3y

Combine like terms: -44 + 44 = 0
0 + Y + 6x = -28 + 2x + 44 + 3y
Y + 6x = -28 + 2x + 44 + 3y

Reorder the terms:
Y + 6x = -28 + 44 + 2x + 3y

Combine like terms: -28 + 44 = 16
Y + 6x = 16 + 2x + 3y

Add '-6x' to each side of the equation.
Y + 6x + -6x = 16 + 2x + -6x + 3y

Combine like terms: 6x + -6x = 0
Y + 0 = 16 + 2x + -6x + 3y
Y = 16 + 2x + -6x + 3y

Combine like terms: 2x + -6x = -4x
Y = 16 + -4x + 3y

Simplifying
Y = 16 + -4x + 3y

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