A logistics coordinator is solving the equation $\frac{1}{2}(y - 5) = \frac{1}{4}(y - 1)$ to determine the number of transport containers ($y$) required for a shipment. To simplify this equation by clearing the fractions, what is the least common denominator (LCD) of the fractions $\frac{1}{2}$ and $\frac{1}{4}$?

An inventory manager uses the equation $\frac{1}{2}(y - 5) = \frac{1}{4}(y - 1)$ to forecast the restock threshold ($y$) in weeks for a critical component. Arrange the following steps in the correct chronological order to solve this equation efficiently by clearing the fractions first.

A budget analyst is solving the equation $\frac{1}{2}(y - 5) = \frac{1}{4}(y - 1)$ to forecast quarterly expenses. When clearing the fractions by multiplying both sides by the least common denominator (LCD) of 4, the analyst must also multiply the terms inside the parentheses ($y - 5$ and $y - 1$) by 4 during that same step.

An inventory supervisor is using the equation $\frac{1}{2}(y - 5) = \frac{1}{4}(y - 1)$ to determine the restock threshold $y$ for a warehouse. Match each mathematical component or result with its correct description in the process of solving this equation.

Initial Step in Clearing Fractions