(Y-8)-(y+3)=3y

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Solution for (Y-8)-(y+3)=3y equation: 


Simplifying
(Y + -8) + -1(y + 3) = 3y

Reorder the terms:
(-8 + Y) + -1(y + 3) = 3y

Remove parenthesis around (-8 + Y)
-8 + Y + -1(y + 3) = 3y

Reorder the terms:
-8 + Y + -1(3 + y) = 3y
-8 + Y + (3 * -1 + y * -1) = 3y
-8 + Y + (-3 + -1y) = 3y

Reorder the terms:
-8 + -3 + Y + -1y = 3y

Combine like terms: -8 + -3 = -11
-11 + Y + -1y = 3y

Solving
-11 + Y + -1y = 3y

Solving for variable 'Y'.

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

Add '11' to each side of the equation.
-11 + Y + 11 + -1y = 11 + 3y

Reorder the terms:
-11 + 11 + Y + -1y = 11 + 3y

Combine like terms: -11 + 11 = 0
0 + Y + -1y = 11 + 3y
Y + -1y = 11 + 3y

Add 'y' to each side of the equation.
Y + -1y + y = 11 + 3y + y

Combine like terms: -1y + y = 0
Y + 0 = 11 + 3y + y
Y = 11 + 3y + y

Combine like terms: 3y + y = 4y
Y = 11 + 4y

Simplifying
Y = 11 + 4y

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