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Solve for y given the equation 3y + 3x - 12 = -45 and x = -4.

Mathematics

ScanSolve AI Answer

Answer

-7

Step-by-step solution

4 steps

Here's a breakdown of the solution based on your work:

  1. Start with the given equation and substitute the value of xx.

    The equation is 3y+3x−12=−453y + 3x - 12 = -45.
    From your work, it appears you used x=−4x = -4.

    3y+3(−4)−12=−453y + 3(-4) - 12 = -45

  2. Multiply and combine the constant terms on the left side.

    3y−12−12=−453y - 12 - 12 = -45 3y−24=−453y - 24 = -45

  3. Add 24 to both sides of the equation to isolate the term with yy.

    3y−24+24=−45+243y - 24 + 24 = -45 + 24 3y=−213y = -21

  4. Divide by 3 to solve for yy.

    y=−213y = \frac{-21}{3} y=−7y = \boxed{-7}
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