For $(x,y)$, positive integers, let  $10xy+14x+15y=166$.  Find $x+y$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For $(x,y)$, positive integers, let  $10xy+14x+15y=166$.  Find $x+y$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
6
For $(x,y)$, positive integers, let  $10xy+14x+15y=166$.  Find $x+y$.
train