Question

complete the process of solving the equation. fill in the missing term and select the missing description. simplify any fractions. \\(\frac{y}{9} + 5 = 9\\) \\(\frac{y}{9} = 4\\) \\(y = \square\\) multiply both sides by 9

Explanation:

Step1: Analyze the first step

To get from \(\frac{y}{9}+5 = 9\) to \(\frac{y}{9}=4\), we use the Subtraction Property of Equality, which means we subtract 5 from both sides. So the missing description is "Subtract 5 from both sides".

Step2: Solve for y

We know that \(\frac{y}{9}=4\) and we need to multiply both sides by 9. So \(y=4\times9\).

Step3: Calculate the value of y

\(4\times9 = 36\), so \(y = 36\).

Answer:

The missing description is "Subtract 5 from both sides" and the missing term is \(36\). So the completed equation steps are:

• \(\frac{y}{9}+5 = 9\)
• \(\frac{y}{9}=4\) (Subtract 5 from both sides)
• \(y=\boxed{36}\) (Multiply both sides by 9)