To simplify the expression \(9x + 3y - 6 - 5x + 4y - 3\), combine like terms:
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Combine the \(x\) terms:
- \(9x - 5x = 4x\)
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Combine the \(y\) terms:
- \(3y + 4y = 7y\)
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Combine the constant terms:
- \(-6 - 3 = -9\)
Putting it all together, the simplified expression is:
\[ 4x + 7y - 9 \]