Question
Solve for \( y \) \[ 12=4(y+5)-6 y \] Simplify your answer as much as possible. \( y=\llbracket] \)
Ask by Craig Kelley. in the United States
Feb 03,2025
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Answer
\( y = 4 \)
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To solve for \( y \) in the equation \( 12 = 4(y + 5) - 6y \), let's start by distributing the \( 4 \): \[ 12 = 4y + 20 - 6y. \] Next, combine like terms \( 4y - 6y = -2y \): \[ 12 = -2y + 20. \] Now, let's isolate \( y \) by subtracting \( 20 \) from both sides: \[ 12 - 20 = -2y, \] \[ -8 = -2y. \] Dividing both sides by \( -2 \): \[ y = \frac{-8}{-2} = 4. \] So the solution is \( y=4 \).