Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.5 - Use of Properties - Problem Set 1.5 - Page 34: 61

$-8y+6$

Using the Distributive Property and then combining like terms, the given expression, $ (y+3)-(y-2)-(y+6)-7(y-1) ,$ simplifies to \begin{array}{l}\require{cancel} y+3-y+2-y-6-7y+7 \\\\= (y-y-y-7y)+(3+2-6+7) \\\\= -8y+6 .\end{array}