(4x+7y+6)−(x−7y−1)

Sure, let's solve this step by step:

1. First, distribute the negative sign to each term in the second parentheses: -(x - 7y - 1) becomes -x + 7y + 1.

2. Now, combine like terms from the first parentheses and the distributed second parentheses:

   (4x + 7y + 6) - (x - 7y - 1) becomes 4x - x + 7y + 7y + 6 + 1.

3. Simplify by combining like terms:

   4x - x = 3x,

   7y + 7y = 14y,

   6 + 1 = 7.

4. So, the simplified expression is 3x + 14y + 7.