Questions: Use the steps for solving linear equations to solve the given linear equation for y. 3.2 y+1.2(y-4)=61.2

Use the steps for solving linear equations to solve the given linear equation for y. 3.2 y+1.2(y-4)=61.2
Transcript text: Use the steps for solving linear equations to solve the given linear equation for $y$. \[ 3.2 y+1.2(y-4)=61.2 \] Answer
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Solution

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Solution Steps

Step 1: Distribute the 1.2

Distribute the 1.2 to both terms inside the parentheses: \[ 3.2y + 1.2(y - 4) = 61.2 \] \[ 3.2y + 1.2y - 4.8 = 61.2 \]

Step 2: Combine like terms

Combine the \( y \) terms on the left side of the equation: \[ (3.2y + 1.2y) - 4.8 = 61.2 \] \[ 4.4y - 4.8 = 61.2 \]

Step 3: Isolate the variable term

Add 4.8 to both sides to isolate the term with \( y \): \[ 4.4y - 4.8 + 4.8 = 61.2 + 4.8 \] \[ 4.4y = 66 \]

Step 4: Solve for \( y \)

Divide both sides by 4.4 to solve for \( y \): \[ y = \frac{66}{4.4} \] \[ y = 15 \]

Final Answer

\[ y = 15 \]

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