Question

subtract.
(4y + 8) - (2y + 2)

Explanation:

Step1: Remove parentheses

To subtract the two polynomials, we first remove the parentheses. When we have a minus sign in front of the second parentheses, we need to distribute the negative sign to each term inside the parentheses:
$$(4y + 8) - (2y + 2) = 4y + 8 - 2y - 2$$

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(y\)-terms are \(4y\) and \(-2y\), and the like terms for the constant terms are \(8\) and \(-2\).
For the \(y\)-terms: \(4y - 2y = 2y\)
For the constant terms: \(8 - 2 = 6\)

Putting these together, we get \(2y + 6\).

Answer:

\(2y + 6\)