If $\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$, find the value of $y$ when $x = 25$ and $z = 24$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$, find the value of $y$ when $x = 25$ and $z = 24$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
600
If $\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$, find the value of $y$ when $x = 25$ and $z = 24$.
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