i think the paid version of greenify is the best option to save battery coz u can also greenify all the system apps that keep running and consume battery as well as ram in the background. it made a lot of difference in my moto g but i truly recognized its potential when i tried it on my wife's 2 year old sam s duos! it made a world of difference and her battery after 8-10 hours of average usage is still 50%, without any battery saving app. the interface is also buttery smooth. someone who has used sam s duos will know for sure how difficult it is to achieve this!
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Can you suggest me some link which explains the rooting of Moto G in the easiest way out there?