Time Invariant Signal: Help Me See Why My Solution is Wrong

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Huumah
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Can anyone help my to see why my solution is wrong because the in the solutions it says that it is not time invariant
 
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I don't understand what y_A and y_B are.

Simple example:
y(0)=x(-2)+x(2)
y(1)=x(-1)+x(1)
In general, those sums can be different.