Restoring a backup merely restores the apps, data, and contacts you had saved on the device. It won't downgrade it from iOS 8 to iOS 7.1.1.
You have to find an old backup of your iPhone and restore your phone from it. It will depend where you have stored your backups either on your computer or via the Cloud. If you only want to downgrade because of the camera, it just takes a little getting used to is all.
Sadly one you update to the latest iOS version, there is not way to downgrade or restore to an earlier version without using intricate hacks.
Sadly, you cannot downgrade an iOS device without installing illegal hacks.
You can't downgrade an IOS on your iPod Touch.
You can't downgrade IOS!
You cannot downgrade an iOS device without installing illegal hacks.
To downgrade iOS 10 to iOS 9, you could use related professional tools such as TunesKit iOS System Recovery, which supports downgrading any iOS versions. Besides, if you have any other ioS issues, this mighty software can help you to get out of trouble.
use your noodle!
You cannot downgrade an iOS device without installing illegal hacks.
There is no way to undo iOS 7 after restoring your iPod because iOS 7 is not released yet. However, to downgrade the iOS of your iPod simply download the firmware of the iOS you want from the Internet. While in iTunes, hold shift as you click "Restore my iPod to factory settings" and choose the file you just downloaded and your iPod should be on a lower iOS.
There is no way to downgrade from iOS 7 without disobeying the Terms.
Sadly, you cannot downgrade to an older iOS version after updating unless you disobey Apple's terms and use illegal hacks.