Answer
$5y^2-6y-8$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(5y+4)(y-2)
,$ is
\begin{array}{l}\require{cancel}
5y(y)+5y(-2)+4(y)+4(-2)
\\\\=
5y^2-10y+4y-8
\\\\=
5y^2-6y-8
.\end{array}