## Elementary Algebra

$14x+17y$
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}