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7x=41-5y
Subtract 5y from both sides.
\frac{7x}{7}=\frac{41-5y}{7}
Divide both sides by 7.
x=\frac{41-5y}{7}
Dividing by 7 undoes the multiplication by 7.
5y=41-7x
Subtract 7x from both sides.
\frac{5y}{5}=\frac{41-7x}{5}
Divide both sides by 5.
y=\frac{41-7x}{5}
Dividing by 5 undoes the multiplication by 5.