X, Y and Z

Algebra Level 1

XYZXYZ+YZ1675 \begin{array} { l l l l l } & & X & Y& Z\\ & & X& Y& Z\\+&& &Y & Z \\\hline & 1 & 6 & 7 & 5\\ \end{array}

X,Y,X,Y, and ZZ are distinct single digits that satisfy the cryptogram above.

What is X+Y+Z?X+Y+Z?

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