6y−9=4y+7

Sure, let's solve the equation step by step:

1. The given equation is 6y - 9 = 4y + 7.

2. To isolate y, we first need to get all the y terms on one side of the equation and the constants on the other side. We can do this by subtracting 4y from both sides of the equation:

   6y - 4y - 9 = 4y - 4y + 7

   This simplifies to:

   2y - 9 = 7

3. Next, we add 9 to both sides of the equation to isolate the y term:

   2y - 9 + 9 = 7 + 9

   This simplifies to:

   2y = 16

4. Finally, we divide both sides of the equation by 2 to solve for y:

   2y / 2 = 16 / 2

   This simplifies to:

   y = 8

So, the solution to the equation 6y - 9 = 4y + 7 is y = 8.