Solve -7y-3*-11+2y

$$-7y-3 \times -11+2y$$

Evaluate

$$33-5y$$

Solution Steps

Multiply 3 and -11 to get -33.

$$-7y-\left(-33\right)+2y$$

The opposite of -33 is 33.

$$-7y+33+2y$$

Combine -7y and 2y to get -5y.

$$-5y+33$$

Differentiate w.r.t. y

$$-5$$

Steps Using Derivative Rule for Sum

Multiply 3 and -11 to get -33.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-7y-\left(-33\right)+2y)$$

The opposite of -33 is 33.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-7y+33+2y)$$

Combine -7y and 2y to get -5y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5y+33)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-5y^{1-1}$$

Subtract 1 from 1.

$$-5y^{0}$$

For any term t except 0, t^{0}=1.

$$-5$$