To simplify the expression \(-12y + \frac{4}{27}\), follow these steps:

1. **Identify the terms**: The expression consists of two terms: \(-12y\) and \(\frac{4}{27}\).
2. **Check for like terms**: The terms \(-12y\) and \(\frac{4}{27}\) are not like terms because one contains the variable \(y\) and the other is a constant (a fraction).
3. **Final expression**: Since the terms are not like, the expression is already in its simplest form.

So, the simplified expression is:

\[
-12y + \frac{4}{27}
\]

Would you like further details or have any questions? Here are 5 related questions:

1. How would you add or subtract similar algebraic expressions?
2. What are the steps to simplify an expression involving multiple fractions?
3. Can you simplify \(-12y + \frac{4}{9}\) further if \(y\) is a specific value?
4. What are like terms, and why can't we combine unlike terms?
5. How do you simplify expressions that include both variables and fractions?

**Tip**: When simplifying algebraic expressions, always look for like terms and common factors to combine or reduce.

Learn how to simplify the algebraic expression -12y + 4/27. This problem covers key algebraic concepts like identifying like terms and understanding why certain terms cannot be combined. Perfect for students in Grades 6-8.

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