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Differentiate w.r.t. y
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\frac{3y^{2}}{2}+\frac{2\left(-3\right)y^{2}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply -3y^{2} times \frac{2}{2}.
\frac{3y^{2}+2\left(-3\right)y^{2}}{2}
Since \frac{3y^{2}}{2} and \frac{2\left(-3\right)y^{2}}{2} have the same denominator, add them by adding their numerators.
\frac{3y^{2}-6y^{2}}{2}
Do the multiplications in 3y^{2}+2\left(-3\right)y^{2}.
\frac{-3y^{2}}{2}
Combine like terms in 3y^{2}-6y^{2}.