As a financial analyst for a manufacturing firm, you are combining two departmental cost models: ${}7y^2 - 2y + 9$ and ${}4y^2 - 8y - 7$, where $y$ represents the number of years. Recalling the standard procedure for adding polynomials, arrange the following steps in the exact order required to find the total combined cost model.

A manufacturing plant uses two separate functions to model the hourly output of its production lines: ${}7y^2 - 2y + 9$ and ${}4y^2 - 8y - 7$, where $y$ represents the machine speed. To determine the total output for the entire plant, an engineer must find the sum of these two polynomials. Which of the following expressions represents the correct total output?

An operations manager is combining two cost-projection models for a logistics firm. The models are represented by the polynomials $({}7y^2 - 2y + 9)$ and $({}4y^2 - 8y - 7)$, where $y$ is the number of operating units. To find the total cost model, the manager must combine the like terms. Match each group of like terms from these expressions with its correctly simplified sum.

A financial analyst is combining two cost models represented by the polynomials ${}7y^2 - 2y + 9$ and ${}4y^2 - 8y - 7$. True or False: The coefficient of the $y$-term in the simplified sum of these two models is 10.

Merging Inventory Cost Models

A warehouse operations supervisor is combining two local storage capacity models represented by the polynomials ${}7y^2 - 2y + 9$ and ${}4y^2 - 8y - 7$, where $y$ represents the height of storage pallets in meters. To find the combined capacity model, the supervisor adds these two expressions: $({}7y^2 - 2y + 9) + ({}4y^2 - 8y - 7)$. After grouping and combining the $y^2$-terms, the coefficient of the $y^2$-term in the simplified sum is ____.

Quarterly Cost Reconciliation at a Utility Cooperative