Final answer:
The equation that would result in destructive interference with the wave y = -2sin(2π/3x) is y = 2sin(2π/3x).
Step-by-step explanation:
The equation that would result in destructive interference with the wave y = -2sin(2π/3x) is y = 2sin(2π/3x). In destructive interference, the crests of one wave align with the troughs of the other wave, causing the waves to cancel out and resulting in a zero amplitude. By changing the sign of the wave's amplitude, we can achieve destructive interference.