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This is the second paper in a series that considers first-order, gauge-invariant and covariant, gravitational perturbations to locally rotationally symmetric (LRS) class II vacuum spacetimes. Focusing on the 1+1+2 gravito-electromagnetic (GEM) formalism, the first paper used linear algebra techniques to derive four decoupled equations that govern four specific combinations of the GEM 2tensor harmonic amplitudes. This paper completes the decoupling of the 1+1+2 GEM system by showing how todoi:10.1088/0264-9381/25/23/235004 fatcat:r3ipwbmnt5fz3kp7fhwooh2oke