How long will it take for me to lose my fat on average?

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I know this isn't /adv/ but it is related to /fit/ so I thought I'd ask here.

Basically I started being trained professionally at the gym since 23rd December and on average go around 4 - 5 times a week, my diet isn't the best mostly because I'm allergic to almost all fruit and some veg (tree pollen) so I stick to mainly chicken wraps and things like toast with butter, a bowl of rice krispies (2 teaspoons of sugar) and pepsi max (around 6 cans per day). Yes I drink at least 2 litres per day not including water I drink at the gym.

I know I can reduce the Pepsi Max to just two meals (2 cans) and reduce my sugar which I have been doing.

I'm 5ft 11, muscular body type and I weigh at the moment 19 stone 5 down from my original 20 stone 7 with my waist being down by 8cm. My doctors and trainer think I should be around 15 stone to be healthy again.