Question

Use the distributive property to rewrite the expression without parentheses. $$ (y+19) 7$$

Short answer

The expression \( (y+19) 7 \) rewritten without parentheses using the distributive property is \( 7y + 133 \)

Step-by-step solution

Understanding Distributive Property

The distributive property allows us to eliminate parentheses by distributing the multiplication over the terms within the parentheses. In the given expression, the multiplication is being distributed over the terms \( y \) and \( 19 \). The distributive property states that \( a(b+c) = ab + ac \).

Applying Distributive Property

Applying the distributive property to the expression \( (y+19) 7 \), the multiplication (7 in this case) is distributed to both \( y \) and 19. This means that each of these two terms will be multiplied by 7.

Simplify the Expression

So, we get the simplified form of the expression by multiplying 7 with \( y \) and 7 with 19: \( 7y + 133 \)