We start with the equation given in the problem: \[ x + \frac{2}{y} = 10 \]
Rearranging the equation to isolate \( x \): \[ x = 10 - \frac{2}{y} \]
The solution expresses \( x \) in terms of \( y \): \[ x = 10 - \frac{2}{y} \]
The solution is given by: \[ \boxed{x = 10 - \frac{2}{y}} \]
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