Question

Simplify the variable expression. $$-(-3)^{2}(-y)$$

Short answer

The simplified form of \(-(-3)^{2}(-y)\) is \(9y\).

Step-by-step solution

Simplify the Expression Inside Parentheses

Start by simplifying \((-3)^{2}\). The exponent tells us to multiply -3 by itself. The result is \((-3)\times (-3) = 9\). The expression becomes: \(-9(-y)\).

Apply Distributive Property

Next, apply the negative sign referred as distributive property to the remaining part of the expression. The result is \(-9 \times -y = 9y\). This is because multiplying two negative values yield a positive value.

Write Final Simplified Expression

The expression \(-(-3)^{2}(-y)\) has now been simplified to \(9y\).