Solving a problem like this is the same as solving a single inequality. If fact you could divide the inequalities and solve it as -2 < 3y - 4 and 3y - 4 < 14.

However, I will solve the inequality as one problem.

-2 < 3y - 4 < 14 To solve for y, the first step will be to add 4 to each side

-2 + 4 < 3y - 4 + 4 < 14 + 4

2 < 3y < 18 Divide all sides by 3

2/3 < 3y/3 < 18/3

2/3 < y < 6

y is any number between 2/3 and 6. In interval notation this would be (2/3 , 6)

Please let me know if you have any additional questions about this work.