simplify 1/y+8/1/y-7

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I think you meant to include some parentheses in your expression. I'll simplify it the way you've written it, but if I'm misunderstanding which expression you meant, please write back and clarify. The order of operations would have you do division before addition or subtraction, and you should work left to right. The first term, 1/y cannot be simplified any more, so we move on to the next division. The second term, 8/1/y, is simplified left to right. So 8/1/y = (8/1)/y = 8/y. The last term, -7, can be written as (-7y)/y, and we'll need that common denominator of y to add up our three terms. So we have 1/y + 8/y + (-7y)/y. Since all three fractions now have the same denominator, we can simplify to a single fraction (1 + 8 - 7y)/y, and finally, (9 - 7y)/y.