(Y-2)+(y+2)-(y-5)=10

Solution for (Y-2)+(y+2)-(y-5)=10 equation:

Simplifying
(Y + -2) + (y + 2) + -1(y + -5) = 10

Reorder the terms:
(-2 + Y) + (y + 2) + -1(y + -5) = 10

Remove parenthesis around (-2 + Y)
-2 + Y + (y + 2) + -1(y + -5) = 10

Reorder the terms:
-2 + Y + (2 + y) + -1(y + -5) = 10

Remove parenthesis around (2 + y)
-2 + Y + 2 + y + -1(y + -5) = 10

Reorder the terms:
-2 + Y + 2 + y + -1(-5 + y) = 10
-2 + Y + 2 + y + (-5 * -1 + y * -1) = 10
-2 + Y + 2 + y + (5 + -1y) = 10

Reorder the terms:
-2 + 2 + 5 + Y + y + -1y = 10

Combine like terms: -2 + 2 = 0
0 + 5 + Y + y + -1y = 10
5 + Y + y + -1y = 10

Combine like terms: y + -1y = 0
5 + Y + 0 = 10
5 + Y = 10

Solving
5 + Y = 10

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 + -5 + Y = 10 + -5

Combine like terms: 5 + -5 = 0
0 + Y = 10 + -5
Y = 10 + -5

Combine like terms: 10 + -5 = 5
Y = 5

Simplifying
Y = 5