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

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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]
 
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Yes, it can.
 

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