We study Yang-Baxter deformations of the AdS(5)xS(5) superstring with the classical Yang-Baxter equation. We make a general argument on the supercoset construction and present a formula to describe the dilaton in terms of classical r-matrices. The supercoset construction is explicitly performed for some classical r-matrices, and the full backgrounds including the Ramond-Ramond (R-R) sector and dilaton are derived. Within the class of Abelian r-matrices, perfect agreement is shown for well-known examples including gravity duals of non-commutative gauge theories, gamma-deformations of S-5 and Schrodinger spacetimes. It is remarkable that the supercoset construction works well, even if the resulting backgrounds are not maximally supersymmetric. In particular, three-parameter gamma-deformations of S-5 and Schrodinger spacetimes do not preserve any supersymmetries. As for non-Abelian r-matrices, we will focus upon a specific example. The resulting background does not satisfy the equation of motion of the Neveu-Schwarz-Neveu-Schwarz two-form because the R-R three-form is not closed.