Answer:
To find the value of y that makes the equation 12(y+6)=36y true, we need to solve for y. Let's break down the steps:
1. Distribute the 12 to both terms inside the parentheses:
12y + 72 = 36y
2. Next, we want to isolate the variable y. To do this, we'll move the 12y term to the other side of the equation by subtracting 12y from both sides:
72 = 24y
3. Now we have 24y on one side. To solve for y, we divide both sides of the equation by 24:
72/24 = y
4. Simplifying the left side gives us:
3 = y
Therefore, the value of y that makes the equation true is y = 3.
<3