What is the answer and how the steps to solving y-15/32=2 6/7

y = 937/224, but there are quite a few steps to getting there

y-15/32=2 6/7

Add 15/32 to both sides.
y=15/32+2 6/7

To solve the equation y - 15/32 = 2 6/7, we can follow these steps:

Step 1: Simplify the mixed number 2 6/7 to an improper fraction:
2 6/7 = (2 * 7 + 6)/7 = 20/7

Step 2: Get a common denominator for the fractions in the equation, which is 32:
y - 15/32 = 20/7

Step 3: Multiply both sides of the equation by 32 to eliminate the fraction on the left side:
32 * (y - 15/32) = 32 * (20/7)
32y - 15 = (32 * 20)/7

Step 4: Simplify the right side of the equation:
32y - 15 = 640/7

Step 5: Convert the right side to a fraction:
640/7 = (640 ÷ 7) / 1 = 91 3/7

Step 6: Add 15 to both sides of the equation:
32y - 15 + 15 = 91 3/7 + 15
32y = 91 3/7 + 15

Step 7: Simplify the right side of the equation:
91 3/7 + 15 = 91 3/7 + (15 * 7)/7 = 91 3/7 + 105/7 = 196 3/7

Step 8: Divide both sides of the equation by 32 to isolate y:
(32y) / 32 = 196 3/7 / 32
y = 196 3/7 / 32

Step 9: Simplify the right side of the equation:
196 3/7 / 32 = (196 ÷ 32) / (7/7) + 3/7 = 6 1/7 + 3/7 = 6 4/7

Therefore, the solution to the equation y - 15/32 = 2 6/7 is y = 6 4/7.