Slightly clever use of both date() and mktime() is how it's solved. It's actually covered pretty good in the manual these days under the respective functions, but here's what you want.
$timestamp = mktime(date("H"),date("i"),date("s"),date("m"),date("d")-3,date("Y"));
print(date("ymdHis", $timestamp));
Or in english:
1) Create a unix-timestamp from todays date and the current time, but subtract three days
2) Print out the date you're looking for using date() and the timestamp.
And my god, are you trying to reinvent the wheel or something with that format? =)
(och först nu märker jag att du är svensk dessutom, tjena!)