please help

Question

Solve the equation if possible -2|3y+7|+9=5

Answer 1

- 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