Explanation:
2/3y+1=1/6y+8
Multiply both sides of the equation by 6 you get 
4y+6=y+48
4y+6=y+48
Move variable to the left side and change its sign 
4y-y+6=48
4y-y=48-6 
Collect like terms 
3y=48-6
3y=42
Divide both sides of the equation by 3 and your final answer is 
y=14 
You’re answer is: y=14 :)