2/3y + 6 =15
(2/3)y= 15-6
(2/3)y=9
2y=3(9)
2y=27
y=27/2
y=13.5
To Check:
Plug y back into equation
(2/3)(13.5) +6=15
2/3y + 6 =15
2/3y = 9
y = 9/(2/3)
y = 9 * (3/2)
y = 27/2
y = 13 1/2
To solve the equation 2/3y + 6 = 15, you can follow these steps:
Step 1: Start by subtracting 6 from both sides of the equation:
2/3y + 6 - 6 = 15 - 6
2/3y = 9
Step 2: To isolate the variable, multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(3/2) * (2/3y) = (3/2) * 9
(3/2)(2/3)y = 27/2
Step 3: Simplify the expression by canceling out common factors:
(3 * 2) / (2 * 3) * y = 27/2
1y = 27/2
Step 4: Rewrite 27/2 as a mixed number or decimal, if desired:
27/2 as a mixed number is 13 1/2. As a decimal, it is 13.5.
Therefore, the solution to the equation 2/3y + 6 = 15 is y = 13 1/2 or y = 13.5.