Given the equation:
[tex]4x+3y=12[/tex]Solve for y means to make y alone on the left side
so, subtract 4x from both sides
so,
[tex]\begin{gathered} -4x+4x+3y=12-4x \\ 3y=12-4x \end{gathered}[/tex]Now, divide both sides by 3
So,
[tex]\begin{gathered} \frac{3y}{3}=\frac{12-4x}{3} \\ \\ y=-\frac{4}{3}x+4 \end{gathered}[/tex]