How can I install OpenJDK 7

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For building Android, your best bet is to just install the Oracle JDK 7. I downloaded jdk-7u80-linux-x64.tar.gz and put in /opt/oracle/java/.

Then you can just edit build/core/main.mk and force for all cases

requires_openjdk := false

Note that even if you get OpenJDK 1.7 installed on Fedora it returns 'java -version' differently than Ubuntu and you'll have to change the build/core/main.mk check for the version to look for "openjdk" instead of "java" at the beginning of the version.

Using the Oracle JDK is fine, though. It is used for all host types that are not Linux.

Can you live with OpenJDK 8?

If so, run sudo dnf search openjdk to get an overview of all OpenJDK packages available in F22. Then select what you need: start with sudo dnf install java-1.8.0-openjdk java-1.8.0-openjdk-devel.

If you want openjdk 7.0 go here, download the correspondig .rpm's ( java-1.7.0-openjdk and java-1.7.0-openjdk-devel) for your architecture, and install them locally using dnf.