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3x=1+4y
Add 4y to both sides.
3x=4y+1
The equation is in standard form.
\frac{3x}{3}=\frac{4y+1}{3}
Divide both sides by 3.
x=\frac{4y+1}{3}
Dividing by 3 undoes the multiplication by 3.
-4y=1-3x
Subtract 3x from both sides.
\frac{-4y}{-4}=\frac{1-3x}{-4}
Divide both sides by -4.
y=\frac{1-3x}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{3x-1}{4}
Divide 1-3x by -4.