How do you solve the equation 2y = 3x – 4y + 20?

To solve the equation 2y = 3x – 4y + 20, we can follow these steps:

  1. First, let’s rearrange the equation by moving all terms involving y to one side and the other terms to the opposite side. We can do this by adding 4y to both sides:

    2y + 4y = 3x + 20

    This simplifies to:

    6y = 3x + 20

  2. Now we want to isolate y. To do this, we divide both sides of the equation by 6:

    y = (3x + 20) / 6

    We can further simplify the equation into two separate fractions:

    y = (3/6)x + (20/6)

    Which simplifies to:

    y = (1/2)x + (10/3)

Now we have expressed y in terms of x. If you plug in any value of x, you can find the corresponding value of y.

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