(5-t)+(6-y)-(5-y)=0

Solution for (5-t)+(6-y)-(5-y)=0 equation:

Simplifying
(5 + -1t) + (6 + -1y) + -1(5 + -1y) = 0

Remove parenthesis around (5 + -1t)
5 + -1t + (6 + -1y) + -1(5 + -1y) = 0

Remove parenthesis around (6 + -1y)
5 + -1t + 6 + -1y + -1(5 + -1y) = 0
5 + -1t + 6 + -1y + (5 * -1 + -1y * -1) = 0
5 + -1t + 6 + -1y + (-5 + 1y) = 0

Reorder the terms:
5 + 6 + -5 + -1t + -1y + 1y = 0

Combine like terms: 5 + 6 = 11
11 + -5 + -1t + -1y + 1y = 0

Combine like terms: 11 + -5 = 6
6 + -1t + -1y + 1y = 0

Combine like terms: -1y + 1y = 0
6 + -1t + 0 = 0
6 + -1t = 0

Solving
6 + -1t = 0

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6