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Let's change your question into a y=mx+b format first.

4x-2y=1

-2y=-4x+1

y=2x-.5

A line parallel to that will need the same slope. But we can change the "b" (or in this case, -.5) to whichever number we like. Example answer would be:

y=2x+5

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13y ago

What else can I help you with?