OpenSAT

We can solve this system of equations using substitution. Since we know that $x = 3y - 2$, we can substitute this expression for $x$ in the second equation: $2(3y - 2) + 5y = 16$. Simplifying, we get $6y - 4 + 5y = 16$, which combines to $11y - 4 = 16$. Adding 4 to both sides gives $11y = 20$. Dividing both sides by 11 gives us $y = \frac{20}{11}$, or approximately 1.82. Since the answer choices are integers, the closest integer value is 2, so the value of $y$ is 2.