(Y-9)-(y+5)=3y

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Solution for (Y-9)-(y+5)=3y equation: 


Simplifying
(Y + -9) + -1(y + 5) = 3y

Reorder the terms:
(-9 + Y) + -1(y + 5) = 3y

Remove parenthesis around (-9 + Y)
-9 + Y + -1(y + 5) = 3y

Reorder the terms:
-9 + Y + -1(5 + y) = 3y
-9 + Y + (5 * -1 + y * -1) = 3y
-9 + Y + (-5 + -1y) = 3y

Reorder the terms:
-9 + -5 + Y + -1y = 3y

Combine like terms: -9 + -5 = -14
-14 + Y + -1y = 3y

Solving
-14 + Y + -1y = 3y

Solving for variable 'Y'.

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

Add '14' to each side of the equation.
-14 + Y + 14 + -1y = 14 + 3y

Reorder the terms:
-14 + 14 + Y + -1y = 14 + 3y

Combine like terms: -14 + 14 = 0
0 + Y + -1y = 14 + 3y
Y + -1y = 14 + 3y

Add 'y' to each side of the equation.
Y + -1y + y = 14 + 3y + y

Combine like terms: -1y + y = 0
Y + 0 = 14 + 3y + y
Y = 14 + 3y + y

Combine like terms: 3y + y = 4y
Y = 14 + 4y

Simplifying
Y = 14 + 4y

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