Equivalent Current in Circuit
The left 1ohm resistor does not affect the circuit at all, you might as well remove it.

Then the remaining 1ohm and 2ohm resistors are in series making them effectively a single 3ohm resistor.

Then the two 3ohm resistors are in parallel, giving a single 1.5ohm resistor.

And finally 1V/1.5ohm is 0.67A.