please give complete solution.
Critical points: -3/2, 1/3
Check intervals:
(-inf, -3/2]
1-3y - 2y-3 > 5
y < -7/5
Combine: y ≤ -3/2
(-3/2, 1/3]
1-3y+2y+3 > 5
y < -1
Combine: -3/2 < y < -1
(1/3, inf)
3y-1+2y+3 > 5
y > 3/5
Answer: (-inf, -1) U (3/5, inf)
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Verified answer
Critical points: -3/2, 1/3
Check intervals:
(-inf, -3/2]
1-3y - 2y-3 > 5
y < -7/5
Combine: y ≤ -3/2
(-3/2, 1/3]
1-3y+2y+3 > 5
y < -1
Combine: -3/2 < y < -1
(1/3, inf)
3y-1+2y+3 > 5
y > 3/5
Answer: (-inf, -1) U (3/5, inf)