To solve this equation, we need to first simplify the expression on the left side and then isolate the variable (y) on one side of the equation.
13 2/9 - (7 5/9 + y) = 3 5/9
Convert all mixed numbers to improper fractions:
13 2/9 = (9 13 + 2) / 9 = 119/97 5/9 = (9 7 + 5) / 9 = 68/93 5/9 = (9 * 3 + 5) / 9 = 32/9
Now substitute these values back into the equation and simplify:
119/9 - (68/9 + y) = 32/9
119/9 - 68/9 - y = 32/9
51/9 - y = 32/9
Now, subtract 51/9 from both sides:
-y = 32/9 - 51/9
-y = -19/9
Finally, multiply both sides by -1 to solve for y:
y = 19/9
Therefore, the solution to the equation is y = 19/9.
To solve this equation, we need to first simplify the expression on the left side and then isolate the variable (y) on one side of the equation.
13 2/9 - (7 5/9 + y) = 3 5/9
Convert all mixed numbers to improper fractions:
13 2/9 = (9 13 + 2) / 9 = 119/9
7 5/9 = (9 7 + 5) / 9 = 68/9
3 5/9 = (9 * 3 + 5) / 9 = 32/9
Now substitute these values back into the equation and simplify:
119/9 - (68/9 + y) = 32/9
119/9 - 68/9 - y = 32/9
51/9 - y = 32/9
Now, subtract 51/9 from both sides:
-y = 32/9 - 51/9
-y = -19/9
Finally, multiply both sides by -1 to solve for y:
y = 19/9
Therefore, the solution to the equation is y = 19/9.