Looking at your stats, I'm going to guess the number one reason why you can't carry is because you die. Probably because I'm plat, I find bronze games ridiculously easy to carry as adc for these reasons:
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both sides will make stupid moves constantly throughout the game and repeatedly throw.
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because of 1) as the adc it is very easy to get fed
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staying alive is the most important thing, because you are essentially the objective destroyer, and as long as you are alive even if you are "behind", your team will take out objectives exponentially faster with you than without you
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You are dying because you are getting caught, I'm assuming mainly because you don't know when to enter a team fight (or your position is bad)
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Whenever you are in a teamfight, DO NOT ENTER IT until all the hard cc that can catch you is blown. Once it is blown you get a free pass to rape their face. Sometimes this might mean that you have to enter when your teammates are nearly dead (and with bronze, people will chase like no other after low hp people, so if you enter a teamfight late zero people will ever focus you, because they are trying to finish off your teammates)
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biggest thing for any role is itemization. If you are behind you have to learn how to be more efficient with how you spend your gold. Even an extremely high damage carry like yourself can be 100% useless if you die without ever doing any attacks.
This breaks down to two things:
a) if you notice a certain champ is constantly catching you and resulting in your death, instead of finishing your whatever damage item, start building armor/mr against that champ, so even if they do catch you, you will end up alive
b) in a teamfight if you tend to have to attack a certain champ (because maybe they keep wall-blocking you from your team),your option is to either ignore them and fight the team, or build your items to do the max amount of damage vs that champ. So if a full tank malphite is in your face, and you don't have armor pen, you might be better off walking past him to fight the rest of the team, or run away. of course if all their cd's are up and they can spam skills on you, you ignore it.
p.s. last thing- your cs is bronze/silver level. You need to practice and bring that average count up. This will help you the most when you are behind and trying to catch up.
