For pure fat loss, try three days a week of treadmill walking at the highest incline setting.
Cut out the machines except for the pulley. Machines will set you up for over use injuries.
Yoga will put a decent amount of muscle on you. Not tons, not a lot, but a decent, noticeable amount. The main benefits of yoga are to give flexibility and over all strength. It will help you develop a base to build from. This way you aren't one of the monkeys in the gym that can curl high weights but have no functional strength. Having a strong base and a strong core will help you lift higher weights, and will increase your resistance to injury.
Three days a week of treadmill, three days of yoga. Increase protein intake. After three to six months, reevaluate and consider adding in free weights.
As Remixer said, drink water. A guy your age should be shooting for a minimum of a gallon a day. This increases athletic performance. Seriously. 1%-2% dehydration can lower athletic performance by as much as 25%. When you feel thirsty you're already 1%-2% dehydrated. The chemical reactions that take place to convert stored body fat to energy require water. The more water in your system, the better your body can use your fat.
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