Em(p)ty

Logic Level 1

In the following equation, each letter represents a distinct digit in base ten:

\[ \large {\begin{array}{cccccc} & & &&& Y&E\\ \times& & & & & M&E\\
\hline & & & & T & T&T\\ \end{array}} \]

Determine the sum \(E +M +T +Y. \)

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