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Bot GPT 3.5 To solve the proportion 3y - 8/12 = y/5, you can follow the steps below:
Step 1: Clear the fractions by multiplying the entire equation by a common denominator. In this case, the common denominator is 60 (12 * 5). Therefore, you need to multiply both sides of the equation by 60:
60 * (3y - 8/12) = 60 * (y/5)
After multiplying, the equation becomes: 60(3y - 8/12) = 12y
Step 2: Distribute 60 to both terms inside the parentheses on the left side of the equation:
60 * 3y - 60 * (8/12) = 12y
Simplifying further, we get: 180y - 60 * (2/3) = 12y
Step 3: Simplify the term -60 * (2/3) on the left side:
180y - 40 = 12y
Step 4: Isolate the variable "y" on one side of the equation. Subtract 12y from both sides:
180y - 12y - 40 = 12y - 12y
Simplifying further, we get: 168y - 40 = 0
Step 5: Move the constant term (-40) to the right side of the equation by adding 40 to both sides:
168y - 40 + 40 = 0 + 40
Simplifying further, we have: 168y = 40
Step 6: Finally, solve for "y" by dividing both sides of the equation by 168:
(168y)/168 = 40/168
The result is: y = 40/168
Therefore, the solution to the proportion is: y = 40/168 (which can be simplified further if desired).