Final answer:
To solve the given equation, isolate the variable y by performing the necessary operations. The final simplified equation is y = (3/5x) - 7/15.
Step-by-step explanation:
To solve the equation 9/5 x -7 = 15y, we need to isolate the variable y. First, let's move the 7 to the other side of the equation by adding 7 to both sides:
9/5 x = 15y + 7
Next, divide both sides of the equation by 15 to isolate y:
(9/5 x) / 15 = (15y + 7) / 15
To simplify further, cancel out the 15 on the right side:
(9/5 x) / 15 = y + 7/15
Now, let's rewrite the equation in a simplified form:
y = (9/5 x) / 15 - 7/15
Since 15 is a multiple of 5, it can be written as 3 * 5, which means we can simplify the equation further:
y = (9/5 x) / (3 * 5) - 7/15
Now, dividing both the numerator and denominator of the first term by 5:
y = (9/5x) / 3 - 7/15
The final simplified equation is:
y = (3/5x) - 7/15