Photoshop:
Pixlr (in browser),
Muro (in Browser) or
Krita,
GIMP or
Paint.Net
Dreamweaver:
(this is a bit hard since there's no exact thing and depends on your knowledge, etc.. but take a look at these)
Aptana,
Komodo Edit,
CodeLobster,
SublimeText,
Atom
Premiere:
- For complex video editing:
HitFilm Express or
VideoPad Editor
- For simple video stuff (cut and compress):
Avidemux,
Handbrake,
Freemake,
Youtube Editor (in browser)
Now these are all free tools. They are not as powerful as Adobe but if you combine them you might end-up with the same results in the end...
There are many options out there so take your time and explore them all (try them out)...
The big question for you - is it worth the hustle... if it is than go for it!
You didn't said PC or Mac... My list above is software for PC.