You are making sets of pens and pencils to sell. You want each set to contain the same combination of pens and pencils. You have
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You factor the expression first leaving you with 
Then you would cancel out 3xy as because there is exactly one on each side. This, in turn, would leave you with z - 1
Then you would cancel out 3xy as because there is exactly one on each side. This, in turn, would leave you with z - 1