Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.5 - Use of Properties - Problem Set 1.5 - Page 34: 62

$-5y-15$

Using the Distributive Property and then combining like terms, the given expression, $ -(y-2)-(y+4)-(y+7)-2(y+3) ,$ simplifies to \begin{array}{l}\require{cancel} -y+2-y-4-y-7-2y-6 \\\\= (-y-y-y-2y)+(2-4-7-6) \\\\= -5y-15 .\end{array}