$$9y^{6}\div(-3y^{4})$$
$-3y^{2}$
$$\left(9y^{6}\right)^{1}\times \frac{1}{-3y^{4}}$$
$$9^{1}\left(y^{6}\right)^{1}\times \frac{1}{-3}\times \frac{1}{y^{4}}$$
$$9^{1}\times \frac{1}{-3}\left(y^{6}\right)^{1}\times \frac{1}{y^{4}}$$
$$9^{1}\times \frac{1}{-3}y^{6}y^{4\left(-1\right)}$$
$$9^{1}\times \frac{1}{-3}y^{6}y^{-4}$$
$$9^{1}\times \frac{1}{-3}y^{6-4}$$
$$9^{1}\times \frac{1}{-3}y^{2}$$
$$9\times \frac{1}{-3}y^{2}$$
$$9\left(-\frac{1}{3}\right)y^{2}$$
$$-3y^{2}$$
$$\frac{9^{1}y^{6}}{\left(-3\right)^{1}y^{4}}$$
$$\frac{9^{1}y^{6-4}}{\left(-3\right)^{1}}$$
$$\frac{9^{1}y^{2}}{\left(-3\right)^{1}}$$
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$-6y$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{9}{-3}y^{6-4})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(-3y^{2})$$
$$2\left(-3\right)y^{2-1}$$
$$-6y^{1}$$
$$-6y$$