A project manager uses the formula $m = \frac{y-2}{x-3}$ to determine the profit margin ($m$) based on total revenue ($y$) and production units ($x$). To automate a revenue report in a spreadsheet, the manager needs to solve the formula for $y$. Arrange the following steps in the correct order to isolate the variable $y$.

A logistics coordinator uses the formula $m = \frac{y-2}{x-3}$ to track the efficiency rate ($m$) of a delivery route, where $y$ represents the total mileage and $x$ represents the hours spent on the road. If the coordinator needs to calculate the total mileage ($y$) based on a known efficiency rate and time, which of the following equations represents the correct solution for $y$?

A data analyst is working with the performance formula $m = \frac{y-2}{x-3}$. True or False: To clear the fraction and begin the process of solving for $y$, the analyst should multiply both sides of the equation by the expression $(x-3)$.

An operations manager is using the performance formula $m = \frac{y-2}{x-3}$ to analyze productivity. To automate a report that calculates the total output ($y$) directly, the manager must rearrange the formula. Match each resulting algebraic step with the specific operation used to obtain it.

Formula Validation and Variable Isolation

A financial analyst is rearranging the performance metric formula $m = \frac{y-2}{x-3}$ to solve for total revenue, $y$. To eliminate the fraction in the first step, the analyst must multiply both sides of the equation by the expression ____.