NOVELTY - Making biofuels, comprises: dewatering algal culture comprising intact algal cells; combining wet algal biomass with first solvent set; separating first extraction mixture into first liquid phase and first solid phase; combining first solid phase with second amphiphilic solvent set; combining second solid phase with ethanol; separating third solid phase from third liquid phase; esterifying neutral lipids with catalyst; separating water soluble fraction; distilling fuel esters under vacuum; and hydrogenating and deoxygenating less than or equal to 16 carbon fuel esters or greater than or equal to 16 fuel esters.    USE - The method is useful for making biofuels.    ADVANTAGE - The method: provides neutral lipid fraction which possesses a low metal content, thus reducing the subsequent processing steps; reduces the drying and dewatering costs; operates at lower cost due to moderate temperature and pressure conditions along with the solvent recycle; and provides biomass at a high rate with high purity.    DETAILED DESCRIPTION - Making biofuels, comprises: dewatering an algal culture comprising intact algal cells to make a wet algal biomass comprising intact algal cells; combining the wet algal biomass with a first solvent set, where the solvent set comprises at least one amphiphilic solvent, to make a first extraction mixture, and the weight of the first solvent set is same as the weight of the wet algal biomass; separating the first extraction mixture into a first liquid phase comprising proteins and a first solid phase; combining the first solid phase with a second amphiphilic solvent set to make a second extraction mixture, where the weight of the amphiphilic solvent set is same as the weight of the first solid phase; separating the second extraction mixture into a second liquid phase comprising polar lipids and a second solid phase; combining the second solid phase with ethanol in a ratio of 10 parts by weight of ethanol to 1 part by weight of wet algal biomass, under conditions where the intact algal cells remain intact, to generate a third extraction mixture comprised of a third solid phase and a third liquid phase comprising neutral lipids; separating the third solid phase from the third liquid phase comprising neutral lipids to generate a neutral lipids rich fraction; esterifying the neutral lipids with a catalyst in the presence of an alcohol to generate an esterified mixture comprised of a water soluble fraction comprising glycerin from a water insoluble fraction comprising fuel esters; separating the water soluble fraction from the water insoluble fraction; distilling the fuel esters under vacuum to obtain a less than or equal to 16 carbon fuel esters fraction, greater than or equal to 16 carbon fuel ester fraction, and a residue comprising carotenoids and omega-3 fatty acids; and hydrogenating and deoxygenating at least one of the less than or equal to 16 carbon fuel esters to obtain a jet fuel blend stock or greater than or equal to 16 fuel esters to obtain a diesel blend stock.