To add the expressions \((9y + 1) + (2y + 2)\), first combine like terms:
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Combine the \(y\) terms: \[ 9y + 2y = 11y \]
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Combine the constant terms: \[ 1 + 2 = 3 \]
Putting it all together, you get: \[ (9y + 1) + (2y + 2) = 11y + 3 \]
So the final result is: \[ 11y + 3 \]