Question

question
rewrite in simplest terms: (4x + 8y) + (6x - 6y)

Explanation:

Step1: Remove parentheses

Since there are no operations outside the parentheses that would change the signs inside (just addition), we can remove the parentheses: \(4x + 8y + 6x - 6y\)

Step2: Combine like terms for \(x\)

Combine the \(x\)-terms: \(4x + 6x = (4 + 6)x = 10x\)

Step3: Combine like terms for \(y\)

Combine the \(y\)-terms: \(8y - 6y = (8 - 6)y = 2y\)

Step4: Write the simplified expression

Put the combined terms together: \(10x + 2y\)

Answer:

\(10x + 2y\)