(Y-8)-(y+4)=5y

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Solution for (Y-8)-(y+4)=5y equation: 


Simplifying
(Y + -8) + -1(y + 4) = 5y

Reorder the terms:
(-8 + Y) + -1(y + 4) = 5y

Remove parenthesis around (-8 + Y)
-8 + Y + -1(y + 4) = 5y

Reorder the terms:
-8 + Y + -1(4 + y) = 5y
-8 + Y + (4 * -1 + y * -1) = 5y
-8 + Y + (-4 + -1y) = 5y

Reorder the terms:
-8 + -4 + Y + -1y = 5y

Combine like terms: -8 + -4 = -12
-12 + Y + -1y = 5y

Solving
-12 + Y + -1y = 5y

Solving for variable 'Y'.

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

Add '12' to each side of the equation.
-12 + Y + 12 + -1y = 12 + 5y

Reorder the terms:
-12 + 12 + Y + -1y = 12 + 5y

Combine like terms: -12 + 12 = 0
0 + Y + -1y = 12 + 5y
Y + -1y = 12 + 5y

Add 'y' to each side of the equation.
Y + -1y + y = 12 + 5y + y

Combine like terms: -1y + y = 0
Y + 0 = 12 + 5y + y
Y = 12 + 5y + y

Combine like terms: 5y + y = 6y
Y = 12 + 6y

Simplifying
Y = 12 + 6y

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