Answer
$y^{p-2}$
Work Step by Step
We are given the expression $\frac{y^{4p-2}}{y^{3p}}$.
To simplify, we can use the quotient rule, which holds that $\frac{a^{m}}{a^{n}}=a^{m-n}$ (where a is a nonzero real number, and m and n are integers).
$\frac{y^{4p-2}}{y^{3p}}=y^{4p-2-3p}=y^{p-2}$