Answer
$y^2-4y-21$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(y-7)(y+3)
,$ is
\begin{array}{l}\require{cancel}
y(y)+y(3)-7(y)-7(3)
\\\\=
y^2+3y-7y-21
\\\\=
y^2-4y-21
.\end{array}