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To go from the equation \( 2x + 7y = 14 \) to the equivalent equation \( 4x + 14y = 28 \), you need to multiply the entire equation \( 2x + 7y = 14 \) by 2.
So, the equation \( 2x + 7y = 14 \) multiplied by 2 gives:
\[
2(2x) + 2(7y) = 2(14)
\]
which simplifies to:
\[
4x + 14y = 28
\]
Thus, you should multiply by **2**.