It's not fair! That I have to do the hard work!

Literal

Unfair [emphasis-よ]. I [subject-が] hard work [object-を] must-do [such as-なんて].

不公平だよ is a blunt emotional outburst. ~なんて at the end expresses dismay or indignation: 'the idea that I have to..!' 僕 marks the speaker as male.