Questions: What is the value of y if 3y + 7 = 2y + 12?

What is the value of y if 3y + 7 = 2y + 12?
Transcript text: What is the value of $y$ if $3 y+7=2 y+12 ?$
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Solution

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Solution Steps

To find the value of \( y \) in the equation \( 3y + 7 = 2y + 12 \), we need to isolate \( y \) on one side of the equation. We can do this by subtracting \( 2y \) from both sides and then subtracting 7 from both sides to solve for \( y \).

Step 1: Set Up the Equation

We start with the equation given in the problem: \[ 3y + 7 = 2y + 12 \]

Step 2: Isolate \( y \)

To isolate \( y \), we first subtract \( 2y \) from both sides: \[ 3y - 2y + 7 = 12 \] This simplifies to: \[ y + 7 = 12 \]

Step 3: Solve for \( y \)

Next, we subtract 7 from both sides to solve for \( y \): \[ y = 12 - 7 \] Thus, we find: \[ y = 5 \]

Final Answer

The value of \( y \) is \(\boxed{5}\).

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