How long till google updates my blog?

Here is a pretty noob questionOkay so I had 8 blogs linking to my website.They all pointed via the link(No anchor text etc)So when I put my website link in google it would give my 8 blogs as a result.Now I changed the links to my other websites in the same way by putting the link directly.However I do not see any blogs when I put my website link in google.It's been a week.I have indexed them multiple times,pinged them with pingomatic etc.But nothing.How long can it take for google to show my blogs as backlinks to my website?I hope I was clear.