This is almost exactly what I did when I needed to shift 70lbs in a hurry - although I cut my calories harder and incorporated a 2.5 mile walk every day to the office and back. I also only drank gin/vodka/whiskey with diet mixers, when I did drink, and I drank little.
Having WiFi scales helped enormously - seeing my progress day by day, week by week - and being fascinated to see my weight fall but take on a gradual asymptotic curve as my metabolism adapted to the new regime.
Anyway. Eat less was the key, and seeing the measurable progress kept me going until I decided it was quitting time. That was 13 years ago, never regained the weight.