Question

solve the equation below. -2y + 4 = 8y - 6

Explanation:

Step1: Add \(2y\) to both sides

To get all \(y\)-terms on one side, we add \(2y\) to both sides of the equation \(-2y + 4 = 8y - 6\). This gives us \(4 = 10y - 6\).

Step2: Add 6 to both sides

Next, we add 6 to both sides to isolate the term with \(y\). So, \(4 + 6 = 10y\), which simplifies to \(10 = 10y\).

Step3: Divide by 10

Finally, we divide both sides by 10 to solve for \(y\). \(\frac{10}{10}=y\), so \(y = 1\).

Answer:

\(y = 1\)