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Write as a single fraction. -2+8b+ 7y/9b - 2b-y/6b Simplify your answer as much as possible

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Final answer:

To write the given expression as a single fraction, multiply each fraction by a suitable fraction to obtain a common denominator. Then combine the numerators and write the final expression.

Step-by-step explanation:

To write the given expression as a single fraction, we need to find a common denominator for the two fractions. The common denominator for 9b and 6b is 18b. So, we multiply the first fraction by 2/2 and the second fraction by 3/3 to obtain:

-2 + 8b + 7y/(9b) - (2b - y)/(6b) = (-2 + 16b + 14y)/(18b) - (6b - 3y)/(18b).

Now that both fractions have the same denominator, we can combine them:

(-2 + 16b + 14y - 6b + 3y)/(18b) = (10b + 17y)/(18b).

This is the final simplified expression.

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