a(x-y)+(y-x)=

Solution for a(x-y)+(y-x)= equation:

Simplifying
a(x + -1y) + (y + -1x) = 0
(x * a + -1y * a) + (y + -1x) = 0
(ax + -1ay) + (y + -1x) = 0

Reorder the terms:
ax + -1ay + (-1x + y) = 0

Remove parenthesis around (-1x + y)
ax + -1ay + -1x + y = 0

Solving
ax + -1ay + -1x + y = 0

Solving for variable 'a'.

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

Add 'x' to each side of the equation.
ax + -1ay + -1x + x + y = 0 + x

Combine like terms: -1x + x = 0
ax + -1ay + 0 + y = 0 + x
ax + -1ay + y = 0 + x
Remove the zero:
ax + -1ay + y = x

Add '-1y' to each side of the equation.
ax + -1ay + y + -1y = x + -1y

Combine like terms: y + -1y = 0
ax + -1ay + 0 = x + -1y
ax + -1ay = x + -1y

Reorder the terms:
ax + -1ay + -1x + y = x + -1x + -1y + y

Combine like terms: x + -1x = 0
ax + -1ay + -1x + y = 0 + -1y + y
ax + -1ay + -1x + y = -1y + y

Combine like terms: -1y + y = 0
ax + -1ay + -1x + y = 0

The solution to this equation could not be determined.