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

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

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

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

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

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

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

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

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

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

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

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

Solving
Y + -1y = 0

Solving for variable 'Y'.

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

Add 'y' to each side of the equation.
Y + -1y + y = 0 + y

Combine like terms: -1y + y = 0
Y + 0 = 0 + y
Y = 0 + y
Remove the zero:
Y = y

Simplifying
Y = y