https://file.aiquickdraw.com/mathbot/file/17264039000304lxnwwh9.jpg

The equation from your image is:

\[
y = \frac{5 - \frac{x + 2}{6}}{3}
\]

Let me walk you through solving it step by step:

### Step 1: Simplify the numerator
The numerator is \(5 - \frac{x + 2}{6}\). To combine these terms, you need to express the number 5 with a denominator of 6. We rewrite 5 as \( \frac{30}{6} \), so the numerator becomes:

\[
\frac{30}{6} - \frac{x + 2}{6} = \frac{30 - (x + 2)}{6}
\]

Simplifying the expression inside the parentheses:

\[
\frac{30 - x - 2}{6} = \frac{28 - x}{6}
\]

### Step 2: Incorporate the denominator
Now substitute the simplified numerator back into the original expression:

\[
y = \frac{\frac{28 - x}{6}}{3}
\]

This can be simplified further by multiplying the numerator by the reciprocal of the denominator:

\[
y = \frac{28 - x}{6} \times \frac{1}{3} = \frac{28 - x}{18}
\]

### Final Answer:
\[
y = \frac{28 - x}{18}
\]

Would you like more details, or do you have any further questions?

Here are five follow-up questions you might find useful:
1. How would you solve the equation for \(x\) if a specific value of \(y\) were given?
2. How can this equation be visualized graphically?
3. What is the slope of this equation, if treated as a linear equation?
4. How would the solution change if the denominator was different, say 2 instead of 3?
5. How does solving this equation differ if we started with a quadratic expression?

**Tip:** Always simplify expressions inside parentheses first when dealing with complex fractions.

Simplify the equation: (5 - (x + 2) / 6) / 3

Learn how to simplify a complex algebraic expression step by step: (5 - (x + 2) / 6) / 3. This problem introduces key algebraic concepts, including fraction simplification and the distributive property, suitable for high school students in Grades 9-12.

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