Select the correct answer. What is the value of this expression when x=-6 and y=-(1)/(2) 4(x^2+3)-2y A. -131 B. -35 C. 57(1)/(2) a 157

To find the value of the expression \(4(x^2 + 3) - 2y\) when \(x = -6\) and \(y = -\frac{1}{2}\), we need to substitute these values into the expression and simplify.<br /><br />First, let's substitute \(x = -6\) into the expression:<br />\[ x^2 = (-6)^2 = 36 \]<br /><br />Now, substitute \(x^2\) back into the expression:<br />\[ 4(x^2 + 3) = 4(36 + 3) = 4 \times 39 = 156 \]<br /><br />Next, substitute \(y = -\frac{1}{2}\) into the expression:<br />\[ -2y = -2 \left(-\frac{1}{2}\right) = 1 \]<br /><br />Now, combine both parts of the expression:<br />\[ 4(x^2 + 3) - 2y = 156 + 1 = 157 \]<br /><br />Therefore, the value of the expression is:<br />\[ \boxed{157} \]<br /><br />So, the correct answer is:<br />D. 157