Question

Simplify the expression. $$-25 y-6(-y-9)$$

Short answer

The simplified expression is \( -19y + 54 \)

Step-by-step solution

Distribute -6 inside the parentheses

According to the distributive property of multiplication over addition, first handle the multiplication of -6 with content inside the parentheses. The operation is -6*(-y) and -6*(-9), which is 6y and 54 respectively.

Rewrite the expression

Now replace \( -6(-y-9) \) in the original equation with the calculated values. The simplified expression will now be: \( -25y + 6y + 54 \) .

Combine like terms

Add \( -25y \) and \( 6y \) together to yield \( -19y \) . The final simplified expression is then \( -19y + 54 \) .