Question

first, use the distributive property to expand and simplify 2(4y - 5). 2(4y - 5) - 3y = \square y -? - 3y

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). For \(2(4y - 5)\), we distribute the 2 to both terms inside the parentheses: \(2\times4y-2\times5\).
\(2\times4y = 8y\) and \(2\times5=10\), so \(2(4y - 5)=8y - 10\).

Step2: Substitute back into the expression

Substitute \(2(4y - 5)=8y - 10\) into \(2(4y - 5)-3y\), we get \(8y - 10-3y\).

Answer:

The first blank is \(8\) and the second blank (the "?") is \(10\). So the filled - in equation is \(2(4y - 5)-3y = 8y-10 - 3y\).