If you drink heavily 2-3 times a week I would assume that drinking heavily means at least 4 beers, which would average about 150-200 calories for a standard IPA or up to 300 for heavier beers. On the minimum side cutting drinking for a bit would remove 1200 calories from your diet or about half a pound a week not including the food that you would avoid binge eating. On the maximum side it could remove 3600 calories a week or over one pound on its own. So without resting calories in any meaningful way you could lose your excess weight in a half year to a year by eliminating drinking.