Let's first distribute the terms on both sides of the equation:
24 - 12y + 15 = 22y^2 - 77 - 12y + 42
Next, let's combine like terms:
39 - 12y = 22y^2 - 89 - 12y
Now, let's move all the terms to one side of the equation to set it equal to zero:
0 = 22y^2 - 12y + 12y - 89 - 39
0 = 22y^2 - 128
Finally, let's simplify:
22y^2 - 128 = 0
This is the simplified form of the equation.
Let's first distribute the terms on both sides of the equation:
24 - 12y + 15 = 22y^2 - 77 - 12y + 42
Next, let's combine like terms:
39 - 12y = 22y^2 - 89 - 12y
Now, let's move all the terms to one side of the equation to set it equal to zero:
0 = 22y^2 - 12y + 12y - 89 - 39
0 = 22y^2 - 128
Finally, let's simplify:
22y^2 - 128 = 0
This is the simplified form of the equation.