Follow the given steps to solve for \( y \). Step 2: Isolate \( y \) by performing the opposite operation to ALL terms. \[ \begin{array}{r}2 y-4 x=10 \\ +4 x+4 x\end{array} \] \( \frac{\frac{2 y}{2}=\frac{4 x}{[?]}+\frac{10}{\square}}{} \)
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To isolate \( y \), you first need to add \( 4x \) to both sides of the equation. This will eliminate the middle term on the left side. Your equation then becomes: \[ 2y = 10 + 4x + 4x \] Now, simplify the right side: \[ 2y = 10 + 8x \] Next, divide everything by 2 to solve for \( y \): \[ y = \frac{10}{2} + \frac{8x}{2} \] This results in: \[ y = 5 + 4x \] Remember, balancing both sides of an equation ensures that you maintain equality throughout the process! It’s like a seesaw; if one side goes up, the other side must follow suit!