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We prove that the scattering equation formalism for Yang-Mills amplitudes canbe used to make manifest the theory's color-kinematics duality. This isachieved through a concrete reduction algorithm which renders this dualitymanifest term-by-term. The reduction follows from the recently derived set ofidentities for amplitudes expressed in the scattering equation formalism thatare analogous to monodromy relations in string theory. A byproduct of ouralgorithm is a generalization of the identities among gravity and Yang-Millsamplitudes.

Manifesting Color-Kinematics Duality in the Scattering Equation Formalism