Answer
$-1$
Work Step by Step
$\frac{y-z}{z-y}$ Original Problem
$=\frac{y-z}{-1(-z+y)}$ Factor out a negative one from the denominator
$=\frac{y-z}{-1(y-z)}$ Swap terms in the denominator (Commutative Property).
$=-1$ Simplify
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