Long-term Efficacy and Safety Study of TAK-085 in Participants With Hypertriglyceridemia

Inclusion Criteria: Visit 1 (Week -4) 1. Undergoing lifestyle modification. 2. Triglyceride (TG) level (fasting state) 150 mg/dL or higher and less than 750 mg/dL at Visit 1 (Week -4). 3. Both genders, aged from 20 to less than 75 years at the time of signing informed consent. 4. Outpatient. 5. Capable of understanding and complying with protocol requirements. 6. Signed a written, informed consent form prior to the initiation of any study procedures. 7. A female with childbearing potential (premenopausal and non-sterilized) must have agreed to use routinely adequate contraception from signing of informed consent throughout the duration of the study. Visit 2 (Week -2) 8. Fasting TG level 150 mg/dL or higher and less than 750 mg/dL at Visit 2 (Week -2). 9. Difference in fasting low density lipoprotein-cholesterol (LDL-C) level between Visit 1 (Week -4) and Visit 2 (Week -2) within 25% of the higher value Exclusion Criteria: Visit 1 (Week -4) 1. Any coronary artery diseases (CAD, e.g., confirmed myocardial infarction and angina pectoris) within 6 months prior to Visit 1 (Week -4) or a history of revascularization. 2. Received aortic aneurysmectomy or had had aortic aneurysm within 6 months prior to Visit 1 (Week -4). 3. History or complication of a clinically significant hemorrhagic disease (e.g., hemophilia, capillary fragility illness, digestive tract ulcer, urinary tract haemorrhage, hemoptysis, vitreous haemorrhage) within 6 months prior to Visit 1 (Week -4). 4. Diagnosed with pancreatitis. 5. Diagnosed with lipoprotein lipase (LPL) deficiency, apolipoprotein C-II deficiency or type III familial hyperlipidemia. 6. Cushing's syndrome, uremia, systemic lupus erythematosus (SLE) or serum dysproteinemia. 7. Type 1 diabetes mellitus or with uncontrolled type 2 diabetes mellitus defined by glycosylated hemoglobin (HbA1C) level of 8.0% or higher at Visit 1 (Week -4). 8. Stage III hypertension defined by systolic blood pressure of 180 mmHg or higher or diastolic blood pressure of 110 mmHg or higher regardless of the use of antihypertensive medication. 9. Alanine aminotransferase (ALT) or aspartate aminotransferase (AST) level at Visit 1 (Week -4) was not less than twice the upper limit of the normal reference range. 10. If female, was pregnant or lactating. 11. Habitual drinking defined by an average daily alcohol intake of 100 mL or more , drug abuse or drug dependency, or a history of any of these conditions. 12. Started to take any antihyperlipidemic drugs within 4 weeks prior to Visit 1 (Week -4). 13. Received any investigational products (including those for post-marketing clinical study) within 12 weeks prior to Visit 1 (Week -4). 14. Received TAK-085 in a clinical study. 15. Judged as being ineligible for study participation by the investigator or subinvestigator for any other reasons. Visit 2 (Week -2) 16. ALT or AST level at Visit 2 (Week -2) was twice the upper limit of the normal reference range or higher. 17. Needed a change in the dose of antihyperlipidemic drugs or antidiabetic drugs, addition of a new drug or a change in the type of the drugs during the screening period. 18. Judged as being ineligible for study participation by the investigator or subinvestigator for any other reasons. Visit 3 (Week 0) 19. Needed a change in the dose of antihyperlipidemic drugs or antidiabetic drugs, addition of a new drug or a change in the type of the drugs during the screening period. 20. Judged as being ineligible for study participation by the investigator or subinvestigator for any other reasons