Question

property used for 4.5-7=2(y+2.25)+6.6

Answer 1

To solve the equation \( 4.5 - 7 = 2(y + 2.25) + 6.6 \), let's start by simplifying both sides step-by-step.

1. Simplify the left side:
\[
4.5 - 7 = -2.5
\]
So, we have:
\[
-2.5 = 2(y + 2.25) + 6.6
\]

2. Next, we simplify the right side:
We first isolate \( 2(y + 2.25) \) by subtracting 6.6 from both sides:
\[
-2.5 - 6.6 = 2(y + 2.25)
\]
\[
-9.1 = 2(y + 2.25)
\]

3. Now, divide each side by 2 to solve for \( (y + 2.25) \):
\[
-\frac{9.1}{2} = y + 2.25
\]
\[
-4.55 = y + 2.25
\]

4. Lastly, subtract 2.25 from both sides to find \( y \):
\[
-4.55 - 2.25 = y
\]
\[
y = -6.8
\]

Thus, the value of \( y \) that solves the equation is \( \boxed{-6.8} \).