The present invention provides methods for deinking printed waste paper—particularly methods that use a deinking composition that includes a hydrophobically-modified inorganic particle (“MIP”) to improve ink collection efficiency under traditional alkaline, reduced alkali, and true neutral deinking conditions. Deinking compositions are provided that include a hydrophobically-MIP substrate, a nonionic surfactant, and a fatty acid, or mixtures thereof. The improved ink collection of the present invention can result in deinked pulp of high quality and/or yields that has excellent brightness and effective residual ink concentrations (“ERIC”) values.