ax+z=aw-y

Solution for ax+z=aw-y equation:

Simplifying
ax + z = aw + -1y

Solving
ax + z = aw + -1y

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.