Question

simplify. express your answer as a single fraction in simplest form.
\\(\frac{5y}{y + 3} + \frac{y}{y + 3}\\)

Explanation:

Step1: Add the numerators (same denominator)

Since the denominators are the same ($y + 3$), we add the numerators: $5y + y$.
$$\frac{5y + y}{y + 3}$$

Step2: Combine like terms in numerator

Combine $5y$ and $y$: $5y + y = 6y$.
$$\frac{6y}{y + 3}$$

Answer:

$\frac{6y}{y + 3}$