Answer: -7.5
Explanation: To solve for y in the equation -3/(y + 6) = 2, you can follow these steps:
First, we want to get rid of the fraction. To do that, multiply both sides of the equation by (y + 6) to cancel out the denominator:
-3/(y + 6) * (y + 6) = 2 * (y + 6)
This simplifies to:
-3 = 2(y + 6)
Now, distribute 2 on the right side of the equation:
-3 = 2y + 12
Next, isolate the term with 'y' by subtracting 12 from both sides of the equation:
-3 - 12 = 2y
-15 = 2y
Finally, divide both sides by 2 to solve for 'y':
-15/2 = y
So, the solution for y is:
y = -15/2
You can also express this as a mixed number:
y = -7.5