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7x+22=5y
Swap sides so that all variable terms are on the left hand side.
7x=5y-22
Subtract 22 from both sides.
\frac{7x}{7}=\frac{5y-22}{7}
Divide both sides by 7.
x=\frac{5y-22}{7}
Dividing by 7 undoes the multiplication by 7.
5y=7x+22
The equation is in standard form.
\frac{5y}{5}=\frac{7x+22}{5}
Divide both sides by 5.
y=\frac{7x+22}{5}
Dividing by 5 undoes the multiplication by 5.