Answer: [tex]y=\frac{-6x+12}{3}[/tex]
Step-by-step explanation:
[tex]6x+3y=12[/tex]
Subtract 6x from both sides to isolate 3y
[tex]-6x+6x+3y=12-6x[/tex]
[tex]3y=12-6x[/tex]
Divide by 3.
[tex]\frac{3y}{3}=\frac{12-6x}{3}\\ y=\frac{12-6x}{3}[/tex]
Rearranging...
[tex]y=\frac{-6x+12}{3}[/tex]