Let's work through this step-by-step. You seem to have an equation to solve, but the complete equation is not clearly specified in your message. However, I will infer the format and context.
We'll assume the original equation derived from your text is set up as follows:
Starting Equation:
\[ -9y - 1 - y = -15y + 9 \]
Now, let's go through the steps to solve the equation, filling in the missing terms and descriptions.
Step 1: Combine like terms
First, we combine like terms on the left side. The left side has \(-9y\) and \(-y\):
\[ -10y - 1 = -15y + 9 \]
Step 2: Add \(15y\) to both sides
To isolate \(y\), we can add \(15y\) to both sides:
\[ -10y + 15y - 1 = 9 \]
This simplifies to:
\[ 5y - 1 = 9 \]
Step 3: Add \(1\) to both sides
Next, to eliminate the constant on the left side, we add \(1\) to both sides:
\[ 5y - 1 + 1 = 9 + 1 \]
This simplifies to:
\[ 5y = 10 \]
Step 4: Divide both sides by \(5\)
Now we divide both sides by \(5\) to solve for \(y\):
\[ y = \frac{10}{5} \]
Thus:
\[ y = 2 \]
Summary of Steps
- Add \(-9y\) to both sides: Subtract \(-9y\) from both sides
- Combine like terms: Combine the terms to simplify both sides
- Add \(15y\) to both sides: Cancel \(y\) on the left
- Add \(1\) to both sides: Isolate \(y\)
- Divide both sides by \(5\): Find the value of \(y\)
Final Answer
So, the solution gives:
\[ y = 2 \]
The completed process involves combining like terms, isolating \(y\), and solving step-by-step in a structured way. If you have a different equation or additional context, please provide it, and I can tailor the response accordingly.