How should I signify the $y$ value of a given point

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This is more of a aesthetics question than maths. But if I want to use the $y$ value of a given point $P$ in an equation how to I write this? I can't really show any working since I've just googled for an answer.

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This is commonly named the projection of $P$ over the $y$-axis, denoted by $\text{proj}_y(P)$. In the link given, note in particular the bullet set theory under the applications tab.

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Depending on what you are using it for, you can define $P=(x,y)$ and use $y$, you can use $P_y$, you can use $\operatorname{proj}_y(P)$