Question

Simplify the expression (5y − 1) + (−2y + 4)

Answer 1

To simplify the expression \((5y - 1) + (-2y + 4)\), you can start by removing the parentheses and then combining like terms:

1. Distribute and rewrite the expression:
\[
5y - 1 - 2y + 4
\]

2. Combine the \(y\) terms:
\[
5y - 2y = 3y
\]

3. Combine the constant terms:
\[
-1 + 4 = 3
\]

Putting it all together, the simplified expression is:
\[
3y + 3
\]

You can also factor out the common factor if desired:
\[
3(y + 1)
\]

So, the simplified expression is \(\mathbf{3y + 3}\) or \(\mathbf{3(y + 1)}\).