(Y-8)-(y+2)=4y

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


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

Reorder the terms:
(-8 + Y) + -1(y + 2) = 4y

Remove parenthesis around (-8 + Y)
-8 + Y + -1(y + 2) = 4y

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

Reorder the terms:
-8 + -2 + Y + -1y = 4y

Combine like terms: -8 + -2 = -10
-10 + Y + -1y = 4y

Solving
-10 + Y + -1y = 4y

Solving for variable 'Y'.

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

Add '10' to each side of the equation.
-10 + Y + 10 + -1y = 10 + 4y

Reorder the terms:
-10 + 10 + Y + -1y = 10 + 4y

Combine like terms: -10 + 10 = 0
0 + Y + -1y = 10 + 4y
Y + -1y = 10 + 4y

Add 'y' to each side of the equation.
Y + -1y + y = 10 + 4y + y

Combine like terms: -1y + y = 0
Y + 0 = 10 + 4y + y
Y = 10 + 4y + y

Combine like terms: 4y + y = 5y
Y = 10 + 5y

Simplifying
Y = 10 + 5y

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