Question

Solve for y Pls it fast

Answer 1

Answer:  y = 6

Step-by-step explanation:

The small triangle MNO is similar to the big triangle LNP, which means their sides are proportional

$\text{Small}\triangle \quad \text{Big}\triangle \\\\\\\dfrac{MN}{ON}=\dfrac{LN}{PN}\\\\\\\dfrac{24}{y}=\dfrac{9+24}{6+y}\\\\\\24(6+y)=y(9+24)\\144+24y=33y\\\\144=9y\\\\\large\boxed{16=y}$