## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$-x+12y$
Using $a(b+c)=ab+ac$ (or the Distributive Property), and then combining like terms, the given expression, $6x+5y-7(x-y) ,$ simplifies to \begin{array}{l}\require{cancel} 6x+5y-7x+7y \\\\= -x+12y .\end{array}