Please help and show work!!

Standard Form:
[tex]Ax+By=C[/tex]
(Solve for C)
Step 1: Get all terms on one side:
[tex]y+4+(6x+6)=-6x-6+(6x+6)\\=6x+y+6+4=0[/tex]
Step 2: Combine like terms:
[tex]6x+y+(6+4)=0\\=6x+y+10=0[/tex]
Step 3: Move C to the other side:
[tex]6x+y+10-(10)=0-(10)\\\boxed{6x+y=-10}[/tex]