3X+4y=.007.

To clear the decimal we have to move it 3 places to the right. That means multiply by 10^3 = 100. Multiplying both sides by 100 yields

300x + 400y = 7.

The same applies for an inequality.
.3X -.06 > 10

.06 has the most decimal places, so that's the one we handle. To clear it we have to move the decimal point two places to the right, meaning multiply by 10^2 = 100. Multiplying both sides by 100 yields

30x - 6 > 10.

Add 6 to both sides (30x > 16), then divide both sides by 30

x > 16/30

x > 8/15

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