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To factor the expression 2xy - y - 1, you can first notice that there is a common factor of y in the first two terms. You can factor out y from these terms, which gives you:
y(2x - 1) - 1
However, this is as far as you can go with factoring this expression. The remaining expression, (2x - 1) - 1, cannot be factored further. Therefore, the factored form of 2xy - y - 1 is y(2x - 1) - 1.