Question

what will be the simplified expression if we combine like terms in $-5y + 8a + 2y$ ?

Explanation:

Step1: Identify like terms

Like terms are terms with the same variable. Here, \(-5y\) and \(2y\) are like terms (both have \(y\)), and \(8a\) is a separate term (with \(a\)).

Step2: Combine like terms

Combine \(-5y\) and \(2y\): \(-5y + 2y = (-5 + 2)y = -3y\). The term \(8a\) remains as is.

Step3: Write the simplified expression

Put the combined like terms and the remaining term together: \(8a - 3y\) (or \(-3y + 8a\), order doesn't matter for addition).

Answer:

\(8a - 3y\) (or \(-3y + 8a\))