(1) \( 2 x-4 y=26 \quad[y] \)

To solve for \( y \) in the equation \( 2x - 4y = 26 \), first, isolate the \( y \) term. Rearranging gives us \( -4y = -2x + 26 \). Then, divide each side by -4 to solve for \( y \): \( y = \frac{2x - 26}{4} \) or simplified \( y = \frac{1}{2}x - \frac{13}{2} \). This equation is now in slope-intercept form, making it easier to identify the slope and y-intercept when graphing. You can see that for every unit increase in \( x \), \( y \) will increase by half a unit, while the y-intercept occurs at -6.5 (where the line crosses the y-axis). When working with equations like this, be careful not to forget about the coefficients and signs; it's a common mistake to mix them up, which can lead to incorrect solutions. A good practice is to double-check each step for accuracy to avoid hiccups down the line!