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3x-8=4y
Swap sides so that all variable terms are on the left hand side.
3x=4y+8
Add 8 to both sides.
\frac{3x}{3}=\frac{4y+8}{3}
Divide both sides by 3.
x=\frac{4y+8}{3}
Dividing by 3 undoes the multiplication by 3.
4y=3x-8
The equation is in standard form.
\frac{4y}{4}=\frac{3x-8}{4}
Divide both sides by 4.
y=\frac{3x-8}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{3x}{4}-2
Divide 3x-8 by 4.