No, there's no way of saving Carly. 
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I feel that the complaints that the choices didn't really have an effect on the story a bit undeserved really, if it was a truly free form game then the power of the story would have been robbed - it isn't really a game where you try to do everything correctly to get a perfect outcome. Nor is it a morality system like Mass Effect with two clear paths to take. It's more a game where the choices you make aren't there to give you freedom, but to place you more effectively within the game's universe, which makes everything that happens, good or bad, that much more poignant - you had a hand in the outcome but you didn't have full control. I'd give it a 10 for story and concept but a 7 for the execution since there are a few bugs such as the save file issue, and when I finished the final episode I didn't get a statistic breakdown. Best thing I've played this year though, the only other game that made me feel something was the end of MGS3.