How to Find the Unit Impulse Response h[n]?

[gabel]

Find h[n], the unit impulse response of the system descrived by the following equation:

$$y[n]+3y[n-1]+2y[n-2]=x[n]+3x[n-1]+3x[n-2]$$

Can this be rewritten as?(n-->n+2)

$$y[n+2]+3y[n+1]+2y[n]=x[n+2]+3x[n+1]+3x[n]$$

 

[vela]

Yes, it can.