To turn off Apple Music’s automoatic renewal:
In iTunes:
1. Click on your account
2. Select “Account Info”
3. Select Settings>Subscriptions and click “Manage”
4. Set Automatic Renewal to “Off”
In iOS’ Apple Music app:
1. Tap your account
2. Tap “View Apple ID”
3. Select Subscriptions and tap “Manage”
4. Hit the toggle button to turn of automatic renewal
CNET offers a How To video here:
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Direct link to video here.