yes and no, but usually yes.
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Yes, a negative number subtracted from a positive number will always be positive. Subtracting a negative number is the same as adding the opposite of the negative number. The opposite of a negative number is always positive. A positive number plus a positive number is always positive.
It depends on what you mean by an opposite. Every real number has an additive opposite but 0 does not have a multiplicative opposite.
0 * 0 is not positive.
The [multiplicative] opposite of -2 is -0.5, which is negative.
Oh honey, let me break it down for you. The expression -x represents the opposite of x, which is usually a negative number because it's moving in the opposite direction on the number line. But hey, if x happens to be 0, then -x would be 0 too. So technically, -x doesn't always have to be negative, but most of the time it is.