Answer
.5AY
Work Step by Step
The Segment Addition Postulate tells us that
$AE+EY=AY$
Since $AE=EY$, we can substitute AE for EY in the formula.
$AE+AE=AY$
Combine like terms.
$2AE=AY$
divide each side by 2
$2AE\div2=AY\div2$
$AE=\frac{1}{2}AY$