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Solve for yy. Express your answer as a proper or improper fraction in simplest terms.minus, start fraction, 5, divided by, 7, end fraction, equals, start fraction, 3, divided by, 4, end fraction, y, minus, start fraction, 6, divided by, 7, end fraction− 75​ =43​ y− 76​

Question

Solve for yy. Express your answer as a proper or improper fraction in simplest terms.minus, start fraction, 5, divided by, 7, end fraction, equals, start fraction, 3, divided by, 4, end fraction, y, minus, start fraction, 6, divided by, 7, end fraction− 75​ =43​ y− 76​

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Solution

The given equation is:

-5/7 = 3/4y - 6/7

First, let's isolate the term with y. To do this, we add 6/7 to both sides of the equation:

-5/7 + 6/7 = 3/4y

This simplifies to:

1/7 = 3/4y

Next, to solve for y, we divide both sides of the equation by 3/4. Remember that dividing by a fraction is the same as multiplying by its reciprocal:

1/7 * 4/3 = y

This simplifies to:

4/21 = y

So, y = 4/21.

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1/3

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