Losing 2 Pounds Per Week Help !!

I am 186-187 Pounds, 5 Feets 7 Inches, 15 Years Old.

My BMR is 1970.

I have been doing some calculations and i just need to verify them.

Ok my BMR is 1970, multiply by 1.2 (Sedentary) its around 2400 Calories.

If i exercise to burn 600 calories and i decide to eat near my BMR at 2000,

Then I have a Calorie Deficit of 1000 Calories right? Its 2 pounds.

Will this work?

P.S: I'm thinking about doing this 2 pounds per week till 30 days, then ill start on 1 pound per week ( don't tell me why I'm doing it first at 2 pounds, not your concern or business )

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