Solve (-6x-y-9)+(2+6x-4y)

$$( - 6 x - y - 9 ) + ( 2 + 6 x - 4 y )$$

Evaluate

$$-5y-7$$

Solution Steps

Add -9 and 2 to get -7.

$$-6x-y-7+6x-4y$$

Combine -6x and 6x to get 0.

$$-y-7-4y$$

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

$$-5y-7$$

Differentiate w.r.t. y

$$-5$$

Steps Using Derivative Rule for Sum

Add -9 and 2 to get -7.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-6x-y-7+6x-4y)$$

Combine -6x and 6x to get 0.

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

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5y-7)$$

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.

$$-5$$