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