Question

linear equations w/ distribution (lev 1) score: 1/2 penalty: none question solve. 2(2y - 1) = 38 answer attempt 1 out of 3 y = submit answer watch video show examples

Explanation:

Step1: Distribute the 2

We use the distributive property \(a(b - c)=ab - ac\). Here, \(a = 2\), \(b=2y\), and \(c = 1\). So, \(2(2y-1)=2\times2y-2\times1 = 4y-2\). The equation becomes \(4y - 2=38\).

Step2: Add 2 to both sides

To isolate the term with \(y\), we add 2 to both sides of the equation. \(4y-2 + 2=38 + 2\), which simplifies to \(4y=40\).

Step3: Divide by 4

To solve for \(y\), we divide both sides of the equation by 4. \(\frac{4y}{4}=\frac{40}{4}\), so \(y = 10\).

Answer:

\(y = 10\)