To solve the equation \( 6y - 9y + 6 = -12 \), we can follow these steps:
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Combine the terms on the left side of the equation: \[ 6y - 9y = -3y \] So, the equation becomes: \[ -3y + 6 = -12 \]
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Next, isolate the term with \( y \) by subtracting 6 from both sides: \[ -3y = -12 - 6 \] \[ -3y = -18 \]
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Now, divide both sides by -3: \[ y = \frac{-18}{-3} = 6 \]
Thus, the solution is \( y = 6 \).
So, the answer is: y = 6.