If you are living in Australia you have to declare all your income world wide. Australia and the UK have a Tax treaty to avoid double taxation
You cannot do your own tax returns in australia you need a Certified accountant that understands these treaties and how to deal with the tax paid in the UK
You cannot claim the expenses in both countries.
You claim them in the UK
The figure being the taxable income is what you use here and then the tax you paid in the UK is also noted in Australia.
But you need an accountant to prepare your returns.
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