Essay

The Multiplication Property in Budget Auditing

A budget analyst is reviewing a financial report where an initial expenditure, represented by the variable yy, was divided by a cost-sharing factor of 7-7, resulting in a final adjustment of 14-14 ( rac{y}{-7} = -14). To demonstrate your understanding of the algebraic rules needed to solve this, write a brief response that addresses the following:

  1. State the formal name of the algebraic property used to isolate the variable yy by 'undoing' the division.
  2. Identify the specific numerical value (including its sign) that must be multiplied on both sides of the equation to isolate yy.
  3. Recall and state the mathematical rule for the sign of the product when two negative numbers are multiplied, and specify whether the final value of yy in this equation will be positive or negative.

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Updated 2026-04-20

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