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7x=13+10y
Add 10y to both sides.
7x=10y+13
The equation is in standard form.
\frac{7x}{7}=\frac{10y+13}{7}
Divide both sides by 7.
x=\frac{10y+13}{7}
Dividing by 7 undoes the multiplication by 7.
-10y=13-7x
Subtract 7x from both sides.
\frac{-10y}{-10}=\frac{13-7x}{-10}
Divide both sides by -10.
y=\frac{13-7x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{7x-13}{10}
Divide 13-7x by -10.