Answer
${-7,7}$
Work Step by Step
Step 1: $3|y|-4=17$
Step 2: Adding $4$ to both sides, $3|y|-4+4=17+4$.
Step 3: $3|y|=21$
Step 4: Dividing both sides by $3$, $\frac{3|y|}{3}=\frac{21}{3}$.
Step 5: $|y|=7$
Step 6: Using the absolute value property, y=7 or y=-7.
Step 7: Therefore, the solution set is ${-7,7}$.