Let's list the major newspapers (by circulation) in Britain and which party they supported during this election:
The Sun - Conservatives
The Daily Mail - Conservatives
The Mirror - Labour
Evening Standard - Conservatives
The Telegraph - Conservatives
The Daily Express - UKIP
The Daily Star - Conservatives
The Times - Conservatives
The Guardian - Labour
The Independent - Con/LibDem coalition
There's definitely a right-wing bias in the printed press. However, online-only organisations like the Huffington Post did mostly come out in favour of Labour.
Now, in the context of the post to which you've replied, do some simple maths and you'll find less than 5% of the readership read Murdoch press