A coil's turns each link the same changing flux, so the linkage change is turns times the per-turn flux change, and linkage change over time is the induced voltage. The 2 turns times 6 webers gives 12 webers, and 12 webers over 3 seconds gives 4 V exactly for the ideal uniform-flux model; real coils add core saturation, leakage flux, winding resistance, frequency dependence, heating, parasitics, and measurement uncertainty.
A coil turn count multiplies the flux-change ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Turns multiply flux linkage
With 2 turns and flux change 6 webers per turn, linkage change is 12 webers.
Δλ=2×6=12Wb
Linkage change over time gives voltage
The linkage change 12 webers over 3 seconds gives 4 volts.