To change the equation \(2x + \frac{2}{3}y = 6\) to standard form, we want to eliminate any fractions.
To achieve this, you can multiply all terms by 3 (the denominator of the fraction) in order to eliminate the fraction:
\[ 3(2x) + 3\left(\frac{2}{3}y\right) = 3(6) \]
This simplifies to:
\[ 6x + 2y = 18 \]
At this point, the equation is in standard form \(Ax + By = C\) where A, B, and C are integers. However, you can notice that multiplying all terms by 2 or -2, as stated in the provided options, will not eliminate the fractions.
Given the options:
- None of these steps can be taken.
- Multiply all terms by 2.
- Multiply all terms by \(\frac{1}{2}\).
- Multiply all terms by -2.
The correct action to achieve the standard form is not listed, but the first choice "None of these steps can be taken" would be technically correct, as none of the given options specifically indicates multiplying by 3 to eliminate the fraction. However, if you must choose from the provided options, you might check for corrections or guidance on appropriate responses or consider confirming what is intended by "standard form".