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.
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