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Let x, y, z, and w be elements of a group G. (a) Solve for y, given that xyz-1w = 1. (b) Suppose that xyz

Let x, y, z, and w be elements of a group G.

(a) Solve for y, given that xyz-1w = 1.

(b) Suppose that xyz = 1. Does it follow that yzx = 1? Does it follow that yxz = 1?

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