Day 15

$\begin{array} {ccccc} \large & & & \color{red}S & \color{green}E & \color{green}E\\ \large + & & & \color{green}E& \color{blue}Y & \color{green}E \\ \hline \large & & & \color{blue}Y & \color{green}E & \color{red}S \end{array}$

**If each letter represents a different nonzero digit, what must $\color{red}S$ be?**

It's tricky overall, but there's a fast way to solve for one of the letters to get things started!

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