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12x - 8y = -8

dolve for y

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To solve the equation \( 12x - 8y = -8 \) for \( y \), follow these steps:

  1. Start with the given equation: \[ 12x - 8y = -8 \]

  2. Isolate the term with \( y \) by moving \( 12x \) to the other side: \[ -8y = -8 - 12x \]

  3. Simplify the right side: \[ -8y = -12x - 8 \]

  4. Divide each term by \(-8\) to solve for \( y \): \[ y = \frac{-12x - 8}{-8} \]

  5. This simplifies to: \[ y = \frac{12x + 8}{8} \]

  6. Further simplify: \[ y = \frac{12}{8}x + \frac{8}{8} \] \[ y = \frac{3}{2}x + 1 \]

So, the final solution for \( y \) is: \[ y = \frac{3}{2}x + 1 \]