The equation given in the image is:

$\frac{9}{4}y - 12 = \frac{1}{4}y - 4$

Step-by-step solution:

1. Move all terms involving $y$ to one side: Subtract $\frac{1}{4}y$ from both sides:

   $\frac{9}{4}y - \frac{1}{4}y - 12 = -4$

   Simplify the left-hand side:

   $\frac{8}{4}y - 12 = -4$

   This simplifies to:

   $2y - 12 = -4$

2. Move constant terms to the other side: Add 12 to both sides:

   $2y = -4 + 12$

   Simplify:

   $2y = 8$

3. Solve for $y$: Divide both sides by 2:

   $y = \frac{8}{2}$

   $y = 4$

Final Answer:

$y = 4$

Would you like a deeper explanation or have any questions on any step?

Here are 5 related questions to practice:

1. Solve: $\frac{5}{3}y - 7 = \frac{2}{3}y + 5$
2. Solve: $\frac{7}{2}x + 10 = \frac{1}{2}x + 16$
3. Solve: $\frac{3}{5}y - 4 = \frac{1}{5}y + 1$
4. Solve: $\frac{6}{7}y + 8 = \frac{2}{7}y + 12$
5. Solve: $2y - 5 = 3y + 2$

Tip: Always simplify the equation by isolating terms involving the variable on one side and constants on the other side.