To simplify the expression \((5y - 1) + (-2y + 4)\), follow these steps:
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Remove the parentheses: \[ 5y - 1 - 2y + 4 \]
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Combine like terms:
- Combine the \(y\) terms: \(5y - 2y = 3y\)
- Combine the constant terms: \(-1 + 4 = 3\)
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Putting it all together, you get: \[ 3y + 3 \]
Therefore, the simplified expression is: \[ \boxed{3y + 3} \]