solve step by step 2/3y=12

2/3y=12

Divide both sides of the equation by 2/3

y = 12/(2/3)
y = 12 * (3/2)
y - 36/2
y = 18

Multiply each side by the reciprocal 3/2 (3/2 times 2/3 equals 1 leaving y). 12/1 * 3/2, so y=18

To solve the equation 2/3y = 12, follow these steps:

Step 1: Isolate the variable
To isolate the variable y, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2.

(3/2) * (2/3)y = (3/2) * 12

Simplifying:
(3/2) * (2/3)y = (3 * 2)/(2 * 3) * y
(3/3)y = 36/2

Simplifying further:
(1)y = 18

Step 2: Solve for y
Since multiplying by 1 does not change the value, we have y = 18 as the solution.

So the solution to the equation 2/3y = 12 is y = 18.