Solve -9y+5y-7y+3y

$$- 9 y + 5 y - 7 y + 3 y$$

Evaluate

$$-8y$$

Solution Steps

Combine -9y and 5y to get -4y.

$$-4y-7y+3y$$

Combine -4y and -7y to get -11y.

$$-11y+3y$$

Combine -11y and 3y to get -8y.

$$-8y$$

Differentiate w.r.t. y

$$-8$$

Steps Using Definition of a Derivative

Combine -9y and 5y to get -4y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-4y-7y+3y)$$

Combine -4y and -7y to get -11y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-11y+3y)$$

Combine -11y and 3y to get -8y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-8y)$$

The derivative of ax^{n} is nax^{n-1}.

$$-8y^{1-1}$$

Subtract 1 from 1.

$$-8y^{0}$$

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

$$-8$$