Answer
$y^2+y-12$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(y-3)(y+4)
,$ is
\begin{array}{l}\require{cancel}
y(y)+y(4)-3(y)-3(4)
\\\\=
y^2+4y-3y-12
\\\\=
y^2+y-12
.\end{array}