To give another user access to Google Analytics open your Google Analytics account and navigate to the Admin area.

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Click Property User Management

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Within user management you will see who has access to the property. Here you can add, remove or manage a user's permissions. To add a new user click the plus icon at the type right > Add users

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Under the Permissions section make sure to check the 3 boxes highlighted in the image below (Edit, Collaborate, Read & Analyze). Lastly, add the users email and click Add.