please help
Solve the equation if possible -2|3y+7|+9=5
- 2 | 3 y + 7 | + 9 = 5 Subtract 9 to both sides
- 2 | 3 y + 7 | + 9 - 9 = 5 - 9
- 2 | 3 y + 7 | = - 4 Divide both sides by - 2
| 3 y + 7 | = - 4 / - 2
| 3 y + 7 | = 2
+ OR - ( 3 y + 7 ) = 2
3 y + 7 = 2 Subtract 7 to both sides
3 y + 7 - 7 = 2 - 7
3 y = - 5 Divide both sides by 3
y = - 5 / 3
- ( 3 y + 7 ) = 2
- 3 y - 7 = 2 Add 7 to both sides
- 3 y - 7 + 7 = 2 + 7
- 3 y = 9 Divide both sides by - 3
y = 9 / - 3 = - 3
The solutions are :
y = - 5 / 3
and
y = - 3