To simplify the expression \((5y - 1) + (-2y + 4)\), we follow these steps:
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Remove the parentheses: Since we are adding, we can simply combine the terms inside the parentheses. \[ 5y - 1 - 2y + 4 \]
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Combine like terms: We will group the \(y\) terms together and the constant terms together.
- Combine the \(y\) terms: \(5y - 2y = 3y\)
- Combine the constant terms: \(-1 + 4 = 3\)
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Write the final simplified expression: \[ 3y + 3 \]
So the simplified form of \((5y - 1) + (-2y + 4)\) is \(\boxed{3y + 3}\).