Laplace transform of incomplete Laplace integral

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I am stuck with the following integration which looks like a Laplace transformation of an incomplete laplace integral,

$$\int_{0}^{\infty}\left(\int_{0}^{x+p}f(y)e^{-s\eta y}dy\right)f(x)e^{-s\eta x}dx$$

Any help, regarding how to proceed, will be highly appreciated.