Liquid peroxycarboxylic acid laundry compositions, namely bleaching and disinfecting compositions combining mixed peroxycarboxylic acids to provide synergistic efficacy are disclosed. Methods of using the liquid peroxycarboxylic acid laundry compositions for low temperatures and a use pH with detergent and water from about 6 to about 10 are also disclosed. Beneficially, the liquid peroxycarboxylic acid laundry compositions and methods of using the same do not include sulfonated peroxycarboxylic acids and sulfonated carboxylic acid, such as peroxy sulfonated oleic acid/sulfonated oleic acid (PSOA/SOA).