There's a trick to train hands independence.
Play your right hand melody and add just the first note of the left hand without letting the left hand stop the right hand from playing the whole melody.
Repeat but this time play two notes on the left hand again without letting them disrupt the right hand flow.
Repeat and this time play three notes.
And so on till you have played all the corresponding left hand.
Then just play the left hand accompainment and without disruptings the left hand flow just play the first note of the right hand melody.
Repeat and this time play two notes of the right hand without disrupting the flow.
And so on till you have played all the corresponding right hand.