Answer:
[tex]y=7[/tex]
Step-by-step explanation:
[tex]5+\frac{1}{3}(9y-12)=\frac{5}{6}(y+18)+\frac{1}{6}y[/tex]
[tex]5+(3y-4)=(\frac{5}{6}y+15)+\frac{1}{6}y[/tex]
[tex]5+3y-4=\frac{5}{6}y+15+\frac{1}{6}y[/tex]
[tex]1+3y=y+15[/tex]
[tex]3y=y+14[/tex]
[tex]2y=14[/tex]
[tex]y=7[/tex]