This is the problem:
I'm new the delta-to-y and y-to-delta transformation, it is obvious we need to use them. I got the same answer but I'm a bit skeptical about my solution.
Is my solution and analysis correct?
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Answer is 0.8 Ohm but step 3 is wrong, the joint of two 1.9 Ohm resistor at both side should be connected to the joint of two 1 Ohm resistor at the middle. Solving the problem again would be a good idea.
I would like to suggest you two good practice.