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Put the steps in order to solve this equation for y: 4 (y + 10) = 3 (x - 2)

y = 3/4x - 11.5
4y = 3x - 46
4y + 40 = 3x - 6
y = (3x - 46) divided 4

1 answer

To solve the equation \( 4(y + 10) = 3(x - 2) \) for \( y \), the steps in order are:

  1. Distribute both sides: \[ 4y + 40 = 3x - 6 \]

  2. Isolate \( 4y \): \[ 4y = 3x - 46 \]

  3. Divide by 4 to solve for \( y \): \[ y = \frac{3x - 46}{4} \]

  4. Simplify (optional, for final desired form): \[ y = \frac{3}{4}x - 11.5 \]

So, the correct order of your steps is:

  1. 4y + 40 = 3x - 6
  2. 4y = 3x - 46
  3. y = (3x - 46) divided 4
  4. y = \frac{3}{4}x - 11.5

Thus, the sequence of the steps is:

  • First: \( 4y + 40 = 3x - 6 \)
  • Second: \( 4y = 3x - 46 \)
  • Third: \( y = \frac{3x - 46}{4} \)
  • Fourth: \( y = \frac{3}{4}x - 11.5 \)