Subtract (4x - 3y) from the sum of (12x + 9y) and (-2y). A) 8x + 10y B) 8x - 10y C) 8x - 7y D) - 8x + 10y

The correct option is (A)

Step-by-step explanation:

First add (12x + 9y) + (-2y).

After opening the brackets / left (+/times - / right) is - we get;

12x + 9y - 2y

Subtract like terms 9y - 2y, we get;

12x + 7y

Now subtract (4x - 3y) from (12x + 7y). Write the equation as follows:

(12x + 7y) - (4x - 3y)

Open the brackets / left (-/times - / right) is +

12x + 7y - 4x + 3y

Put like terms together:

= 12x - 4x + 7y + 3y

= 8x + 10y

Therefore, correct option is (A)

(12x + 9y) + (-2y) - (4x - 3y)

= 12x + 9y - 2y - 4x + 3y

= 12x - 4x + 9y - 2y + 3y

= 8x + 10y

A) 8x + 10y