we are given
[tex]y-7=-(x+1)[/tex]
Firstly, we will distribute negative sign on right side
[tex]y-7=-x-1[/tex]
Since, we have to move both x and y on anyone side
so, we will add x on both sides
[tex]y-7+x=-x-1+x[/tex]
[tex]y-7+x=-1[/tex]
now, we add 7 on both sides
[tex]y-7+x+7=-1+7[/tex]
[tex]y+x=6[/tex]
[tex]x+y=6[/tex].................Answer
