If $12^2 \cdot 18^3 = 2^x \cdot 3^y$, find $x+y$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $12^2 \cdot 18^3 = 2^x \cdot 3^y$, find $x+y$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
15
If $12^2 \cdot 18^3 = 2^x \cdot 3^y$, find $x+y$.
train