Answer :
For this case we have the following equation given:
[tex]4x-3y=12[/tex]We can begin add 3y on both sides we got:
[tex]4x=12+3y[/tex]And now we can divide both sides by 3 and subtracting 12 and we got:
[tex]\frac{4x-12}{3}=\frac{3y}{3}[/tex]And we have this:
[tex]y=\frac{4x-12}{3}=\frac{4x}{3}-4[/tex]And that would be the final answer.