Solve for yy. Express your answer as a proper or improper fraction in simplest terms.minus, start fraction, 5, divided by, 6, end fraction, y, plus, start fraction, 3, divided by, 4, end fraction, equals, start fraction, 5, divided by, 8, end fraction− 65​ y+ 43​ =85​

The equation you provided is: -5/6y + 3/4 = 5/8.

Here are the steps to solve for y:

Step 1: Subtract 3/4 from both sides of the equation to isolate the term with y on one side. This gives us: -5/6y = 5/8 - 3/4.

Step 2: Simplify the right side of the equation. The least common denominator (LCD) of 8 and 4 is 8, so we convert 3/4 to 6/8. This gives us: -5/6y = 5/8 - 6/8 = -1/8.

Step 3: To solve for y, we need to get rid of the -5/6 coefficient. We do this by dividing both sides of the equation by -5/6. This is the same as multiplying by the reciprocal, -6/5. This gives us: y = -1/8 * -6/5.

Step 4: Simplify the right side of the equation. The numerator is -1*-6 = 6 and the denominator is 8*5 = 40. This gives us: y = 6/40.

Step 5: Simplify the fraction to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives us: y = 3/20.

So, the solution to the equation is y = 3/20.

The equation you provided is: -5/6y + 3/4 = 5/8

Step 1: Subtract 3/4 from both sides of the equation to isolate the term with y on one side. This gives us: -5/6y = 5/8 - 3/4

Step 2: Simplify the right side of the equation. 5/8 - 3/4 = -1/8

So, the equation now is: -5/6y = -1/8

Step 3: To solve for y, divide both sides of the equation by -5/6. This is the same as multiplying by the reciprocal, -6/5.

So, y = -1/8 * -6/5 = 6/40 = 3/20

Therefore, y = 3/20.