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