Solve the equations and check your answer in the case:
`2(y-(5)/(2))=0.3`

Answer

To solve the equation \( 2(y - \frac{5}{2}) = 0.3 \) step by step, follow these instructions:

### Step 1: Distribute the 2
Start by distributing the 2 on the left side of the equation:
\[ 2(y - \frac{5}{2}) = 0.3 \]
This gives us:
\[ 2y - 2 \cdot \frac{5}{2} = 0.3 \]

### Step 2: Simplify the equation
Now, simplify \( 2 \cdot \frac{5}{2} \):
\[ 2y - 5 = 0.3 \]

### Step 3: Isolate the term with y
Next, add 5 to both sides of the equation to isolate the term with \( y \):
\[ 2y = 0.3 + 5 \]

### Step 4: Calculate the right side
Now, calculate \( 0.3 + 5 \):
\[ 0.3 + 5 = 5.3 \]
So, we have:
\[ 2y = 5.3 \]

### Step 5: Solve for y
Now, divide both sides by 2 to solve for \( y \):
\[ y = \frac{5.3}{2} \]

### Step 6: Perform the division
Now, perform the division:
\[ y = 2.65 \]

### Step 7: Check the solution
To check the solution, substitute \( y = 2.65 \) back into the original equation:
\[ LHS = 2(y - \frac{5}{2}) = 2(2.65 - \frac{5}{2}) \]
Calculate \( \frac{5}{2} = 2.5 \):
\[ LHS = 2(2.65 - 2.5) = 2(0.15) = 0.3 \]
Since \( LHS = 0.3 \) matches the right side of the original equation, the solution is verified.

### Final Answer
The value of \( y \) is \( 2.65 \).

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