It seems like a trivial question, but does changing the order of the variables within parentheses in a quantified wff change the meaning or truth value? For example:

∀$\displaystyle x$∃$\displaystyle y$ $\displaystyle P$($\displaystyle x$, $\displaystyle y$) VS. ∀$\displaystyle x$∃$\displaystyle y$ $\displaystyle P$($\displaystyle y$, $\displaystyle x$)

From what I gathered on my own, I didn't think this slight change made a difference to the wff, but I want to be sure to avoid making any sort of mistake. Thanks!