Answer
$4y^2-y-3$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(4y+3)(y-1)
,$ is
\begin{array}{l}\require{cancel}
4y(y)+4y(-1)+3(y)+3(-1)
\\\\=
4y^2-4y+3y-3
\\\\=
4y^2-y-3
.\end{array}