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-12x+7y=\frac{\mathrm{d}}{\mathrm{d}x}(x)
Swap sides so that all variable terms are on the left hand side.
7y=\frac{\mathrm{d}}{\mathrm{d}x}(x)+12x
Add 12x to both sides.
7y=12x+1
The equation is in standard form.
\frac{7y}{7}=\frac{12x+1}{7}
Divide both sides by 7.
y=\frac{12x+1}{7}
Dividing by 7 undoes the multiplication by 7.