(Y-3)-(y+2)=5y

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Solution for (Y-3)-(y+2)=5y equation: 


Simplifying
(Y + -3) + -1(y + 2) = 5y

Reorder the terms:
(-3 + Y) + -1(y + 2) = 5y

Remove parenthesis around (-3 + Y)
-3 + Y + -1(y + 2) = 5y

Reorder the terms:
-3 + Y + -1(2 + y) = 5y
-3 + Y + (2 * -1 + y * -1) = 5y
-3 + Y + (-2 + -1y) = 5y

Reorder the terms:
-3 + -2 + Y + -1y = 5y

Combine like terms: -3 + -2 = -5
-5 + Y + -1y = 5y

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

Solving for variable 'Y'.

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

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

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

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

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

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

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

Simplifying
Y = 5 + 6y

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