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Solve the following. 12=22-5y...

Solve the following.
`12=22-5y`

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To solve the equation \( 12 = 22 - 5y \), we will follow these steps: ### Step 1: Rearrange the equation We want to isolate the term containing \( y \) on one side of the equation. We can rewrite the equation as: \[ 22 - 5y = 12 \] ### Step 2: Move the constant to the other side Next, we will move the constant term (22) to the other side of the equation. To do this, we subtract 22 from both sides: \[ -5y = 12 - 22 \] ### Step 3: Simplify the right side Now, we simplify the right side: \[ -5y = -10 \] ### Step 4: Solve for \( y \) To find \( y \), we will divide both sides by -5: \[ y = \frac{-10}{-5} \] ### Step 5: Simplify the fraction Now, we simplify the fraction: \[ y = 2 \] ### Final Answer Thus, the solution to the equation \( 12 = 22 - 5y \) is: \[ y = 2 \] ---
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