Answer: y = 6
Step-by-step explanation:
The small triangle MNO is similar to the big triangle LNP, which means their sides are proportional
[tex]\text{Small}\triangle \quad \text{Big}\triangle \\\\\\\dfrac{MN}{ON}=\dfrac{LN}{PN}\\\\\\\dfrac{24}{y}=\dfrac{9+24}{6+y}\\\\\\24(6+y)=y(9+24)\\144+24y=33y\\\\144=9y\\\\\large\boxed{16=y}[/tex]
