(x-y)-(-r+t)=

Solution for (x-y)-(-r+t)= equation:

Simplifying
(x + -1y) + -1(-1r + t) = 0

Remove parenthesis around (x + -1y)
x + -1y + -1(-1r + t) = 0
x + -1y + (-1r * -1 + t * -1) = 0
x + -1y + (1r + -1t) = 0

Reorder the terms:
1r + -1t + x + -1y = 0

Solving
1r + -1t + x + -1y = 0

Solving for variable 'r'.

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

Add 't' to each side of the equation.
1r + -1t + x + t + -1y = 0 + t

Reorder the terms:
1r + -1t + t + x + -1y = 0 + t

Combine like terms: -1t + t = 0
1r + 0 + x + -1y = 0 + t
1r + x + -1y = 0 + t
Remove the zero:
1r + x + -1y = t

Add '-1x' to each side of the equation.
1r + x + -1x + -1y = t + -1x

Combine like terms: x + -1x = 0
1r + 0 + -1y = t + -1x
1r + -1y = t + -1x

Add 'y' to each side of the equation.
1r + -1y + y = t + -1x + y

Combine like terms: -1y + y = 0
1r + 0 = t + -1x + y
1r = t + -1x + y

Divide each side by '1'.
r = t + -1x + y

Simplifying
r = t + -1x + y