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Solve for y. -3/y+6=2

1 Answer

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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

User Scott Wegner
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