One caveat is it depends on the % 15 pounds of your bodyweight is (i.e. if you're really a healthy weight for your height, it would be an injury issue vs. if you are really 15-20 above a healthy range then yes it's absolutely possible).
Having cut ~15-20 lbs for a marathon last year over 10 weeks, the things I did:
-Downloaded a free app and tracked my food to make sure I got a solid mix of the right fuel (protein, carb, etc.) while also keeping my calories below the intended threshold. Most apps account for intended weight loss and exercise also, but I kept exercise separately because the apps tend to over count exercise calories. So if your baseline is 1800 calories and you exercise 1000 calories worth during the day and you want a 500 calorie daily deficit, you just plan your day and stop eating at 2300. This is an incredibly annoying process b/c the apps also are usually built around packaged foods and not home cooked meals, but it's possible and gets easier once you have your typical meals saved.
-Didn't buy any packaged food other than dark chocolate and limited myself to 1 square per day of that (this kept me from binge eating sweets and mindlessly eating snacks, but you may have a different thing that helps you).
-Weighed myself at the end of the day on a regular basis, but not daily, to make sure I targeted the right daily calorie intake and the trend was as expected.
-Overshot by a couple lbs so I could fuel as much as I wanted during the week leading up to marathon and still be at my target.
One final note, don't try to lose more than 2 to 2.5 lbs per week for a long period of time. You'll be hungry all the time and will likely binge eat at some point unless you just have incredible discipline.