The roots of polynomial $ p(y) $ are:
$$ \begin{aligned}y_1 &= 0.2907\\[1 em]y_2 &= 2.8061\\[1 em]y_3 &= 4.9032 \end{aligned} $$Polynomial $ y^3-8y^2+16y-4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.