I drink about four pints a night, except on squash nights (three times per week) when I have either nothing, one, or two.
I have read the arguments for and against exercise as a form of weight loss and I reckon that there is no conclusive answer, which is generally the case when you are talking of individual's physiology. As the most excellent Ben Goldacre would put it: "It's a bit more complicated than that"
For my part, I play squash up to six times a week but it never really helped with weight loss. I always had a bit of a paunch. Then I got back on the bike in a proper way three years ago, cycling to work 12 miles each way, and I lost a stone in three weeks. So in my case, the specific exercise that is my commute (plus a few weekend rides of about 40 miles) absolutely sorts out the weight issue, but it is also backed up by the very intense squash exercise.
Six pints per night (or more as the OP states) is dangerous territory. Addiction in all its forms is something that has always fascinated me, including analysing my own undoubted mild addiction to alcohol. I don't mind admitting it, it is a part of my life that I find deeply pleasant and as long as it can be kept under some sort of control it is life enhancing enough to warrant its continuation. But I know enough about addiction, and particularly the way that alcohol works, to realise how easy it is to go from something that satisfies you to a living hell.
There may be a chance that the OP is at a pretty big crossroads. If you can bring it back to sensible levels, and live happily with it, great. If you can't, you'd be better off giving up completely.
If it is any compensation, I understand how easy it is to get fat when you have an unlimited supply of gorgeous beer. I injured my knee in February to the point where I couldn't play squash or ride my bike, and this happened to coincide with a new found hobby... AG brewing. And I LOVE the ales I make. I have developed a pretty massive stomach in the intervening months, and am only now in the process of riding it off... it's going to be a long slog but I can feel the fitness returning and the stomach slowly subsiding