Final answer:
The expanded form of the expression y(0.5+8) is obtained by distributing the multiplication across the terms inside the parentheses, resulting in 0.5y + 8y.
Step-by-step explanation:
The expression you provided is y(0.5+8). To write this in expanded form, you need to apply the distributive property. This property states that when you have a variable, like y, multiplied by a sum, you can 'distribute' that multiplication to each term inside the parentheses.
Let's break down the expression:
Multiply y with 0.5: y × 0.5 which gives us 0.5y.
Then multiply y with 8: y × 8 which gives us 8y.
Now, combine these two products to write the expanded form of the given expression:
0.5y + 8y
This is your final answer in expanded form.