To simplify the expression \((18x + 9y) + (2x + 6y)\), you combine like terms.
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Combine the \(x\) terms: \[ 18x + 2x = 20x \]
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Combine the \(y\) terms: \[ 9y + 6y = 15y \]
So, the simplified expression is: \[ 20x + 15y \]
Thus, the coefficients are: 20 for \(x\) and 15 for \(y\).
Final answer: 20 x + 15 y