a(x-c+y)+b=-c+y+f

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


Simplifying
a(x + -1c + y) + b = -1c + y + f

Reorder the terms:
a(-1c + x + y) + b = -1c + y + f
(-1c * a + x * a + y * a) + b = -1c + y + f
(-1ac + ax + ay) + b = -1c + y + f

Reorder the terms:
-1ac + ax + ay + b = -1c + f + y

Solving
-1ac + ax + ay + b = -1c + f + y

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
-1ac + ax + ay + b + -1b = -1c + f + -1b + y

Combine like terms: b + -1b = 0
-1ac + ax + ay + 0 = -1c + f + -1b + y
-1ac + ax + ay = -1c + f + -1b + y

Reorder the terms:
-1ac + ax + ay = -1b + -1c + f + y

Reorder the terms:
-1ac + ax + ay + b + c + -1f + -1y = -1b + b + -1c + c + f + -1f + y + -1y

Combine like terms: -1b + b = 0
-1ac + ax + ay + b + c + -1f + -1y = 0 + -1c + c + f + -1f + y + -1y
-1ac + ax + ay + b + c + -1f + -1y = -1c + c + f + -1f + y + -1y

Combine like terms: -1c + c = 0
-1ac + ax + ay + b + c + -1f + -1y = 0 + f + -1f + y + -1y
-1ac + ax + ay + b + c + -1f + -1y = f + -1f + y + -1y

Combine like terms: f + -1f = 0
-1ac + ax + ay + b + c + -1f + -1y = 0 + y + -1y
-1ac + ax + ay + b + c + -1f + -1y = y + -1y

Combine like terms: y + -1y = 0
-1ac + ax + ay + b + c + -1f + -1y = 0

The solution to this equation could not be determined.

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