Solve -6y+19+4y-22+y

$$- 6 y + 19 + 4 y - 22 + y$$

Evaluate

$$-y-3$$

Solution Steps

Combine -6y and 4y to get -2y.

$$-2y+19-22+y$$

Subtract 22 from 19 to get -3.

$$-2y-3+y$$

Combine -2y and y to get -y.

$$-y-3$$

Differentiate w.r.t. y

$$-1$$

Steps Using Derivative Rule for Sum

Combine -6y and 4y to get -2y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-2y+19-22+y)$$

Subtract 22 from 19 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-2y-3+y)$$

Combine -2y and y to get -y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y-3)$$

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}.

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

Subtract 1 from 1.

$$-y^{0}$$

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

$$-1$$