Equations with one rational expression (advanced)

Problem

start fraction, 4, y, start superscript, 2, end superscript, minus, 8, y, plus, 12, divided by, y, start superscript, 2, end superscript, plus, y, minus, 6, end fraction, equals, 3
Fill in the blanks with the solution(s) of the equation.
If there are two such solutions, enter them in ascending order.
If there is only one such solution, leave the second blank empty.
If there are zero such solutions, leave both blanks empty.
y, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
y, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
Do 4 problems