To simplify the expression \(3y - 11y^2 + 56 - y + 14y^2 - 9\), we can combine like terms.
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First, let's rearrange the terms: \[ (-11y^2 + 14y^2) + (3y - y) + (56 - 9) \]
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Now, simplify each group of like terms:
- For \(y^2\) terms: \(-11y^2 + 14y^2 = 3y^2\)
- For \(y\) terms: \(3y - y = 2y\)
- For constant terms: \(56 - 9 = 47\)
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Putting it all together, we have: \[ 3y^2 + 2y + 47 \]
Thus, the simplified expression is: \[ \boxed{3y^2 + 2y + 47} \]