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The Moto G4 Play is essentially a slightly smaller, lighter version of the Moto G4 with slightly lower specs in most categories.
See here for a side-by-side comparison of the 3 variants of the Moto G4
Moto G4, Moto G4 Play, Moto G4 Plus
Moto G4 (2016) vs. Moto G4 Play vs. Moto G4 Plus | Digital Trends
This document outlines the step-by-step activation process. During the activation process, you will need to login using the same credentials as your existing account and then you will have the opportunity to “Move your number” to your new phone.
This will also automatically deactivate your lost phone.
Activate My Phone