Question

In the following exercises, evaluate each expression.

$y+\left(-14\right)$when

(a)$y=-33$

(b)$y=30$

Short answer

(a)$-47$

(b) 16

Step-by-step solution

Part (a). Step 1. Given Information:

The given expression is $y+\left(-14\right)$and the value of the variable is $y=-33$.

Part (a). Step 2. Substitute the value:

Substitute $-33$for $y$into the given expression $y+\left(-14\right)$.

$-33+\left(-14\right)$

Part (a). Step 3. Perform Subtraction:

Rewrite the obtained expression using the subtraction property, $a+\left(-b\right)=a-b$.

$-33+\left(-14\right)=-33-14$

Subtract 14 from $-33$.

$-33-14=-47$

Part (a). Step 4. Conclusion:

The value is $-47$.

Part (b). Step 1. Given Information:

The given expression is $y+\left(-14\right)$and the value of the variable is $y=30$.

Part (b). Step 2. Substitute the value:

Substitute 30 for $y$into the given expression $y+\left(-14\right)$.

$30+\left(-14\right)$

Part (b). Step 3. Perform Subtraction:

Rewrite the obtained expression using the subtraction property, $a+\left(-b\right)=a-b$.

$30+\left(-14\right)=30-14$

Subtract 14 from 30.

$30-14=16$

Part (b). Step 4. Conclusion:

The value is 16.