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5x=2+7y
Add 7y to both sides.
5x=7y+2
The equation is in standard form.
\frac{5x}{5}=\frac{7y+2}{5}
Divide both sides by 5.
x=\frac{7y+2}{5}
Dividing by 5 undoes the multiplication by 5.
-7y=2-5x
Subtract 5x from both sides.
\frac{-7y}{-7}=\frac{2-5x}{-7}
Divide both sides by -7.
y=\frac{2-5x}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{5x-2}{7}
Divide 2-5x by -7.