Find $y^{\text{'}}$ by implicit differentiation. Match the equations defining $y$ implicitly with the letters labeling the expressions for $y.$

$6xsiny+6cos2y=2cosy$

$6xcosy+6sin2y=2siny$

$6xsiny+6sin2y=2cosy$

$6xcosy+6cos2y=2siny$

A$.y^{\text{'}}=\frac{6cosy}{6xsiny-12cos2y+2cosy}$

B$.y^{\text{'}}=\frac{6siny}{12sin2y-6xcosy-2siny}$

C$.y^{\text{'}}=\frac{6siny}{-6xcosy-12cos2y-2siny}$

D$.y^{\text{'}}=\frac{6cosy}{6xsiny+12sin2y+2cosy}$