Question

solving steps for 4.5-7=2(y+2.25)+6.6

Answer 1

To solve the equation \(4.5 - 7 = 2(y + 2.25) + 6.6\), we will follow these steps:

1. **Simplify the left side**:

\[
4.5 - 7 = -2.5
\]

So the equation now is:

\[
-2.5 = 2(y + 2.25) + 6.6
\]

2. **Simplify the right side**:

First, we distribute the \(2\) in the right side:

\[
2(y + 2.25) = 2y + 4.5
\]

Substitute that back into the equation:

\[
-2.5 = 2y + 4.5 + 6.6
\]

Now, combine the constants on the right:

\[
4.5 + 6.6 = 11.1
\]

So the equation becomes:

\[
-2.5 = 2y + 11.1
\]

3. **Isolate \(2y\)**:

Subtract \(11.1\) from both sides:

\[
-2.5 - 11.1 = 2y
\]

Calculate the left side:

\[
-13.6 = 2y
\]

4. **Solve for \(y\)**:

Divide both sides by \(2\):

\[
y = \frac{-13.6}{2} = -6.8
\]

So, the solution to the equation \(4.5 - 7 = 2(y + 2.25) + 6.6\) is:

\[
y = -6.8
\]