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xy-7x=-9
Subtract 7x from both sides.
\left(y-7\right)x=-9
Combine all terms containing x.
\frac{\left(y-7\right)x}{y-7}=-\frac{9}{y-7}
Divide both sides by y-7.
x=-\frac{9}{y-7}
Dividing by y-7 undoes the multiplication by y-7.
xy=7x-9
The equation is in standard form.
\frac{xy}{x}=\frac{7x-9}{x}
Divide both sides by x.
y=\frac{7x-9}{x}
Dividing by x undoes the multiplication by x.
y=7-\frac{9}{x}
Divide 7x-9 by x.