Simplify 9x+3y−6−5x+4y−3

To simplify the expression \( 9x + 3y - 6 - 5x + 4y - 3 \), we can combine like terms.

1. Start by grouping the \(x\) terms: \[ 9x - 5x = 4x \]

2. Next, group the \(y\) terms: \[ 3y + 4y = 7y \]

3. Finally, combine the constant terms: \[ -6 - 3 = -9 \]

Now, we combine all the simplified terms together: \[ 4x + 7y - 9 \]

Thus, the simplified expression is: \[ \boxed{4x + 7y - 9} \]