What is the value of (y) from (9x+2y=10) and (3x-2y=14)?

Correct answer: \(y=-4\)

Using the elimination method, add the two equations: \((9x+2y)+(3x-2y)=10+14\), which gives \(12x=24\), so \(x=2\). Substituting \(x=2\) into \(9x+2y=10\) gives \(18+2y=10\), hence \(2y=-8\) and \(y=-4\). Therefore, option B is correct. The nearby distractor \(y=-3\) is incorrect because it makes the first equation equal to \(18-6=12\), not 10. Exam tip: when coefficients of one variable have opposite signs, add the equations to eliminate that variable directly.