Complete the process of solving the equation.

Fill in all missing terms and select all missing descriptions. Simplify any fractions.

9y–1–y=

15y+9
–1=

15y+9
Add -9y to both sides
Subtract -9y from both sides
Multiply both sides by -9y
Divide both sides by -9y
Combine like terms
–1=9
Add 15y to both sides
Subtract 15y from both sides
Multiply both sides by 15y
Divide both sides by 15y
Apply the distributive property
5y=
Add 1 to both sides
Subtract 1 from both sides
Multiply both sides by 1
Divide both sides by 1
Apply the distributive property
y=
Add 5 to both sides
Subtract 5 from both sides
Multiply both sides by 5
Divide both sides by 5
Combine like terms

1 answer

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

  1. Add \(-9y\) to both sides: Subtract \(-9y\) from both sides
  2. Combine like terms: Combine the terms to simplify both sides
  3. Add \(15y\) to both sides: Cancel \(y\) on the left
  4. Add \(1\) to both sides: Isolate \(y\)
  5. 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.