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40x+25y=P
Swap sides so that all variable terms are on the left hand side.
40x=P-25y
Subtract 25y from both sides.
\frac{40x}{40}=\frac{P-25y}{40}
Divide both sides by 40.
x=\frac{P-25y}{40}
Dividing by 40 undoes the multiplication by 40.
x=\frac{P}{40}-\frac{5y}{8}
Divide P-25y by 40.