Question

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -(y-9) $$

Short answer

-y+9

Step-by-step solution

Distribute negative sign

Distribute the '-' sign across the contents of the parentheses. This means multiplying each term in the parentheses by '-1'. Hence, we get \(-y - (-9)\), which can be more clearly read as \(-1*y + -1*-9\).

Simplify the expression

Now, simplify the expression. We keep \(-1*y\) as \(-y\), and since a negative times a negative equals a positive, we have \(-1*-9\) becoming \(+9\). Combined, we get \(-y+9\).