Simplify the expression.

(4x + 9y) - (11x - 3y +7)

To simplify the expression, we first remove the parentheses.

(4x + 9y) - (11x - 3y + 7)

= 4x + 9y - 11x + 3y - 7

= (4x - 11x) + (9y + 3y) - 7

= -7x + 12y - 7

To simplify the expression, we need to combine like terms.

First, distribute the negative sign inside the parentheses:

(4x + 9y) - 11x + 3y - 7

Now, let's collect the like terms:

(4x - 11x) + (9y + 3y) - 7

Combining like terms:

-7x + 12y - 7

Therefore, the simplified expression is -7x + 12y - 7.