Answer / guest

See the pattern of the Y. AY * Y = NLY i.e. Y is multiplied
by Y and the last digit of the answer is also Y. Thus, the
value of Y would be 5 or 6.

Also,

H=0 as L - H = L

P = 2N as P - N = N

L - Y = P = 2N

E - L = p

Let's find out the minimum possible values. If N=1, then
P=2, Y=5, L=7 and E=9. Note that the value of Y can not be 6
as it makes L=8 and E=10 which is not possible. Hence, Y=5,
N=1, P=2, L=7, E=9, H=0

Now, using trial-n-error or rather solving F*AY=PNH, we get
F=6 and A=3.

5 6 5 Y F Y

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3 5 | 1 9 7 7 5 A Y | N E L L Y

| 1 7 5 | N L Y

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2 2 7 P P L

2 1 0 P N H

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1 7 5 N L Y

1 7 5 N L Y

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0 0 0 0 0 0

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