$$y^{7}-3y^{6}+4y^{2}+2-y^{7}+4y^{6}-4y^{2}-y-6$$
$y^{6}-y-4$
$$-3y^{6}+4y^{2}+2+4y^{6}-4y^{2}-y-6$$
$$y^{6}+4y^{2}+2-4y^{2}-y-6$$
$$y^{6}+2-y-6$$
$$y^{6}-4-y$$
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$6y^{5}-1$
$$\frac{\mathrm{d}}{\mathrm{d}y}(-3y^{6}+4y^{2}+2+4y^{6}-4y^{2}-y-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{6}+4y^{2}+2-4y^{2}-y-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{6}+2-y-6)$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{6}-4-y)$$
$$6y^{6-1}-y^{1-1}$$
$$6y^{5}-y^{1-1}$$
$$6y^{5}-y^{0}$$
$$6y^{5}-1$$
