The distance of point on y-axis and (0, 4) is not 4.
We are given distance of point from the line is 4.
Distance of point from the line is always perpendicular to the line.
And Distance = |Ax1 + By1 + C| / root A2 + B2
Please check the answer here https://www.teachoo.com/2682/628/Misc-4---What-points-on-y-axis-whose-distance-from-x-3---y-4-=-1/category/Miscellaneous/
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