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 + 1.2(y - 4) = 61.2 3.2y+1.2y−4.8=61.2 3.2y + 1.2y - 4.8 = 61.2

Step 2: Combine like terms

Combine the y y terms on the left side of the equation: (3.2y+1.2y)−4.8=61.2 (3.2y + 1.2y) - 4.8 = 61.2 4.4y−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 y : 4.4y−4.8+4.8=61.2+4.8 4.4y - 4.8 + 4.8 = 61.2 + 4.8 4.4y=66 4.4y = 66

Step 4: Solve for y y

Divide both sides by 4.4 to solve for y y : y=664.4 y = \frac{66}{4.4} y=15 y = 15

Final Answer

y=15 y = 15

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