These are my equations

x[n] = δ[n] + 2δ[n-1] - δ[n-3]

h[n] = 2δ[n+1] + 2δ[n-1]

They want to know what

y[n] = x[n] * h[n] (where * is the convolution)

I am getting so lost on this problem. I do not understand how to combine these two to get y[n]. I understand the definition of convolution, just I do not understand how to go about finding y[n]. Can someone please help me out on this problem.

Can you please show me the steps to get the answer.

I looked in the back and the answer is this...

y[n] = 2δ[n+1] + 4δ[n] + 2δ[n-1] + 2δ[n-2] - 2δ[n-4]

No idea how they get that... Can someone please show me the steps to get that answer?