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

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


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

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

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

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

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

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

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

Solving
-5 + Y + -1y = -3 + y

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 = -3 + 5 + y

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

Combine like terms: -5 + 5 = 0
0 + Y + -1y = -3 + 5 + y
Y + -1y = -3 + 5 + y

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

Add 'y' to each side of the equation.
Y + -1y + y = 2 + y + y

Combine like terms: -1y + y = 0
Y + 0 = 2 + y + y
Y = 2 + y + y

Combine like terms: y + y = 2y
Y = 2 + 2y

Simplifying
Y = 2 + 2y

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