Solve 12y+8y-7y+3y-15y

$$12 y + 8 y - 7 y + 3 y - 15 y$$

Evaluate

$$y$$

Solution Steps

Combine 12y and 8y to get 20y.

$$20y-7y+3y-15y$$

Combine 20y and -7y to get 13y.

$$13y+3y-15y$$

Combine 13y and 3y to get 16y.

$$16y-15y$$

Combine 16y and -15y to get y.

$$y$$

Differentiate w.r.t. y

$$1$$

Steps Using Definition of a Derivative

Combine 12y and 8y to get 20y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(20y-7y+3y-15y)$$

Combine 20y and -7y to get 13y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(13y+3y-15y)$$

Combine 13y and 3y to get 16y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(16y-15y)$$

Combine 16y and -15y to get y.

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

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.

$$1$$