ax+1=bx+y

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Solution for ax+1=bx+y equation: 


Simplifying
ax + 1 = bx + y

Reorder the terms:
1 + ax = bx + y

Solving
1 + ax = bx + y

Solving for variable 'a'.

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

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

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

Reorder the terms:
ax = -1 + bx + y

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

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

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

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