$$-\frac{1}{2}y^{5}\times(-6)y^{3}\times\frac{1}{3}y^{4}$$
$y^{12}$
$$-\frac{1}{2}y^{8}\left(-6\right)\times \frac{1}{3}y^{4}$$
$$-\frac{1}{2}y^{12}\left(-6\right)\times \frac{1}{3}$$
$$3y^{12}\times \frac{1}{3}$$
$$y^{12}$$
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$12y^{11}$
$$\frac{\mathrm{d}}{\mathrm{d}y}(-\frac{1}{2}y^{8}\left(-6\right)\times \frac{1}{3}y^{4})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(-\frac{1}{2}y^{12}\left(-6\right)\times \frac{1}{3})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{12}\times \frac{1}{3})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{12})$$
$$12y^{12-1}$$
$$12y^{11}$$