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 \(\mathbf{3(y + 1)}\).