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Question:

Are you allowed to turn left at a green signal?

A Yes, but you must first yield to pedestrians and oncoming vehicles.
Explaination

You can turn left at a green signal except where prohibited by a sign. However, you will not have the right-of-way. You will have to yield to oncoming vehicles and crossing pedestrians before you turn. [Green, Traffic Signals, B-3. Traffic Signs and Signals, Tennessee Comprehensive Driver License Manual]