Answer
$14x+17y$
Work Step by Step
Using $a(b+c)=ab+ac$, or the Distributive Property and then combining like terms, the given expression, $
3(2x+5y)+2(4x+y)
,$ simplifies to
\begin{array}{l}\require{cancel}
6x+15y+8x+2y
\\\\=
(6x+8x)+(15y+2y)
\\\\=
14x+17y
.\end{array}