Answer
$ 4y^{3} -25y^{2} +37y -15 $
Work Step by Step
$ \begin{array}{lllllll}
& & & & y^{2} & -5y & +3\\
& & & & & 4y & -5\\
& & & & -- & -- & --\\
& & & & -5y^{2} & +25y & -15\\
& & & 4y^{3} & -20y^{2} & +12y & \\
\hline & & & & & & \\
& & & 4y^{3} & -25y^{2} & +37y & -15
\end{array} \qquad \begin{array}{l}
.\\
.\\
.\\
\leftarrow-5(y^{2}-5y+3)\\
\leftarrow 4y(y^{2}-5y+3)\\
\\
\leftarrow\text{combine }
\end{array}$