To solve this equation, let's first get rid of the denominators by finding a common denominator. The least common denominator for 2, 3, and 6 is 6.
So, we multiply every term by 6 to get rid of the denominators:
6((2-y)/3) - 6((6-y)/2) = 6((2-3y)/6)
Now simplify:
2(2 - y) - 3(6 - y) = 6*(2 - 3y)
4 - 2y - 18 + 3y = 12 - 18y
Combine like terms:
-14 + y = 12 - 18y
Now isolate the variable terms on one side:
y + 18y = 12 + 14
19y = 26
Finally, solve for y:
y = 26/19
Therefore, the solution to the equation is y = 26/19.
To solve this equation, let's first get rid of the denominators by finding a common denominator. The least common denominator for 2, 3, and 6 is 6.
So, we multiply every term by 6 to get rid of the denominators:
6((2-y)/3) - 6((6-y)/2) = 6((2-3y)/6)
Now simplify:
2(2 - y) - 3(6 - y) = 6*(2 - 3y)
4 - 2y - 18 + 3y = 12 - 18y
Combine like terms:
-14 + y = 12 - 18y
Now isolate the variable terms on one side:
y + 18y = 12 + 14
19y = 26
Finally, solve for y:
y = 26/19
Therefore, the solution to the equation is y = 26/19.