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3x+1=4y
Swap sides so that all variable terms are on the left hand side.
3x=4y-1
Subtract 1 from both sides.
\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=3x+1
The equation is in standard form.
\frac{4y}{4}=\frac{3x+1}{4}
Divide both sides by 4.
y=\frac{3x+1}{4}
Dividing by 4 undoes the multiplication by 4.