Solve for y over the real numbers:
7 y^2 + 18 y + 22 = 6 y^2 + 34 y - 41
Subtract 6 y^2 + 34 y - 41 from both sides:
y^2 - 16 y + 63 = 0
The left hand side factors into a product with two terms:
(y - 9) (y - 7) = 0
Split into two equations:
y - 9 = 0 or y - 7 = 0
Add 9 to both sides:
y = 9 or y - 7 = 0
Add 7 to both sides:
Answer: y = 9 or y = 7