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3x+7y=2
Add 2 to both sides. Anything plus zero gives itself.
3x=2-7y
Subtract 7y from both sides.
\frac{3x}{3}=\frac{2-7y}{3}
Divide both sides by 3.
x=\frac{2-7y}{3}
Dividing by 3 undoes the multiplication by 3.
-2+7y=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
7y=-3x+2
Add 2 to both sides.
7y=2-3x
The equation is in standard form.
\frac{7y}{7}=\frac{2-3x}{7}
Divide both sides by 7.
y=\frac{2-3x}{7}
Dividing by 7 undoes the multiplication by 7.