ax+y=bx+K

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Solution for ax+y=bx+K equation: 


Simplifying
ax + y = bx + K

Reorder the terms:
ax + y = K + bx

Solving
ax + y = K + bx

Solving for variable 'a'.

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

Add '-1y' to each side of the equation.
ax + y + -1y = K + bx + -1y

Combine like terms: y + -1y = 0
ax + 0 = K + bx + -1y
ax = K + bx + -1y

Divide each side by 'x'.
a = x-1K + b + -1x-1y

Simplifying
a = x-1K + b + -1x-1y

Reorder the terms:
a = b + x-1K + -1x-1y

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