3x = 4y - 5 --> 4y - 3x = 5 by rearranging ie. subtract 3x and add 5 to both sides. Call this equation 1.
12y = 9x + 15 --> 12y - 9x = 15 by subtracting 9x from both sides. Call this equation 2.
Multiply equation 1 by 3 -->12y -9x = 15 which is the same as equation 2.
Therefore there are multiple solutions for x and y related to the rule 12y - 9x = 15 or 4y - 3x = 5
Getting y by itself y = (3x + 5)/4
So for any x value the corresponding y value will be (3x + 5)/4
eg When x = 1, y = (3*1 + 5)/4 = 8/4 = 2