ax+y=a+z

Solution for ax+y=a+z equation:

Simplifying
ax + y = a + z

Solving
ax + y = a + z

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
ax + -1a + y = a + -1a + z

Reorder the terms:
-1a + ax + y = a + -1a + z

Combine like terms: a + -1a = 0
-1a + ax + y = 0 + z
-1a + ax + y = z

Add '-1y' to each side of the equation.
-1a + ax + y + -1y = -1y + z

Combine like terms: y + -1y = 0
-1a + ax + 0 = -1y + z
-1a + ax = -1y + z

Reorder the terms:
-1a + ax + y + -1z = -1y + y + z + -1z

Combine like terms: -1y + y = 0
-1a + ax + y + -1z = 0 + z + -1z
-1a + ax + y + -1z = z + -1z

Combine like terms: z + -1z = 0
-1a + ax + y + -1z = 0

The solution to this equation could not be determined.