Question

Write an equivalent variable expression.

$5\left(y-8\right)$

Short answer

Equivalent variable equation of given equation is $5y-40$.

Step-by-step solution

Step-1- Concept of Distributive property of multiplication

According to the distributive property of multiplication, whenwe multiply a number with the sum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number

$A\times \left(B+C\right)=AB+AC$.

Step-2-Evaluating given expressions

$5\left(y-8\right)$

Using Distributive property of multiplication, the above expression can be written as

$5(y-8)=5\left(y\right)-5\left(8\right)$

$5(y-8)=5y-40$

Step-3-Conclusion

Therefore, the equivalent variable equation of given equation is $5y-40$.