To simplify the expression \((5y - 1) + (-2y + 4)\), you can combine like terms.
Here are the steps:
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Remove the parentheses: \[ 5y - 1 - 2y + 4 \]
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Combine the \(y\) terms: \[ 5y - 2y = 3y \]
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Combine the constant terms: \[ -1 + 4 = 3 \]
Putting it all together, the simplified expression is: \[ 3y + 3 \]
Therefore, the final answer is: \[ 3y + 3 \]