8y+4 over 3 factorise then simplify if possible

Let's factorize and simplify the expression \(\frac{8y + 4}{3}\).

1. **Factorize the numerator:**
   The expression in the numerator is \(8y + 4\). Notice that both terms have a common factor of 4, so we can factor out 4:
   \[
   8y + 4 = 4(2y + 1)
   \]

2. **Simplify the expression:**
   Now the expression becomes:
   \[
   \frac{4(2y + 1)}{3}
   \]
   Since there are no common factors between the numerator and the denominator, this is the simplest form.

So, the simplified form of the expression is \(\frac{4(2y + 1)}{3}\).

Would you like more details or have any questions? Here are some related questions you might find useful:

1. How do you factorize expressions with coefficients larger than 1?
2. What are the steps to factor quadratic expressions?
3. How do you simplify rational expressions with binomials?
4. What is the process for factoring trinomials?
5. How do you factor expressions with multiple variables?
6. Can you explain how to simplify complex fractions?
7. What are some examples of factoring by grouping?
8. How do you handle negative signs when factoring?

**Tip:** Always double-check for the greatest common factor (GCF) before simplifying an expression. This will ensure you have the most simplified version.

Learn how to factorize and simplify the expression (8y + 4) / 3 step-by-step with detailed explanations. This problem covers algebraic concepts including rational expressions, factorization, and simplification. Suitable for GCSE students.

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