ax-y+s=b

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Solution for ax-y+s=b equation:


Simplifying
ax + -1y + s = b

Reorder the terms:
ax + s + -1y = b

Solving
ax + s + -1y = b

Solving for variable 'a'.

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

Add '-1s' to each side of the equation.
ax + s + -1s + -1y = b + -1s

Combine like terms: s + -1s = 0
ax + 0 + -1y = b + -1s
ax + -1y = b + -1s

Add 'y' to each side of the equation.
ax + -1y + y = b + -1s + y

Combine like terms: -1y + y = 0
ax + 0 = b + -1s + y
ax = b + -1s + y

Divide each side by 'x'.
a = bx-1 + -1sx-1 + x-1y

Simplifying
a = bx-1 + -1sx-1 + x-1y

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