mx+by=p

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Solution for mx+by=p equation: 


Simplifying
mx + by = p

Reorder the terms:
by + mx = p

Solving
by + mx = p

Solving for variable 'b'.

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

Add '-1mx' to each side of the equation.
by + mx + -1mx = -1mx + p

Combine like terms: mx + -1mx = 0
by + 0 = -1mx + p
by = -1mx + p

Divide each side by 'y'.
b = -1mxy-1 + py-1

Simplifying
b = -1mxy-1 + py-1

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