What is the value of $y$ such that $\lceil y\rceil+y=15.5?$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the value of $y$ such that $\lceil y\rceil+y=15.5?$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
7.5
What is the value of $y$ such that $\lceil y\rceil+y=15.5?$
train