Using voltage divider with appropriate resistor calculations to give +/-1V signal a 1.65V level shift
Assuming you have only a 3.3V supply you'll have to offset the input before it gets to an op-amp input, otherwise there is no way to make it work without a negative supply.
This can be made easier by finding the fictional input voltage that corresponds to 0V at the output, then you can calculate the input divider without regard to gain, then use the op-amp to restore the gain of 1.0.
I can tell you that it's possible to do with two 10K and two 20K resistors, and an op-amp.
It could also be done with a few resistors and a TLV431 if you don't care about output impedance.