I ride 7 days per week and I also lift weights and do kettlebell training 4 days per week. My cycling is strictly limited to commuting and errands, about 18- 20 miles roundtrip at a medium-low intensity. One of the main reasons why I stopped doing long distance recreational riding was because it was affecting my recovery from weight training. Weight lifting is an anaerobic activity and cycling is an aerobic activity and there is a huge big difference between the two. It is possible to balance cardio and strength training but doing too much cardio will compromise your recovery and you will never make any good progress in strength training. If your daily commute is not too long and you are riding at a lower intensity then it should be ok. Nutrition is very important, so make sure that you are getting enough good healthy calories.