Solve 15+7y-5+(-7)=

$$15 + 7 y - 5 + ( - 7 ) =$$

Evaluate

$$7y+3$$

Solution Steps

Subtract 5 from 15 to get 10.

$$10+7y-7$$

Subtract 7 from 10 to get 3.

$$3+7y$$

Differentiate w.r.t. y

$$7$$

Steps Using Derivative Rule for Sum

Subtract 5 from 15 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}y}(10+7y-7)$$

Subtract 7 from 10 to get 3.

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

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}.

$$7y^{1-1}$$

Subtract 1 from 1.

$$7y^{0}$$

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

$$7\times 1$$

For any term t, t\times 1=t and 1t=t.

$$7$$