The simulation is basically saying that Acl (Vout/Vin) = 4

Here's the calculations I did:

I1 = (Vin - V / 1k)

KCL @ Node V+ --> I1 - I2 = 0 --> I1 - (V-V/2k) = 0 --> I1 = 0

Therefore, Vin - V = 0 --> Vin = V

So both V nodes (since it is an ideal op amp) = Vin.

Then, I said I2 = I3 + I4

(Vin - V2)/3k = (V2 - Vout)/36k + (V2/12k)

After some correct algebra...

Vo = 12Vin + 16V2

So I need a voltage substitution for V2. I tried using a voltage divider to determine Vout...

Vout = V2* (2k / (36k+2k))

This turned out to be...

V2 = 19*Vout

I substituted that in, and the answer of Vout/Vin is way off (0.03...something). It should be 4.

Can you hint me where to go or what analysis technique to use?

I don't believe the voltage divider formula may be right. I can't do KCL at the Vout node because there is an Output current sinking into the Op Amp (Ro = 0 under ideal conditions). I thought of using a current divider of some sort, but it uses repetitive variables and equates to 0. HELP!!!