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Simplifying 5y + 2(y + 4) = y + 12 Reorder the terms: 5y + 2(4 + y) = y + 12 5y + (4 * 2 + y * 2) = y + 12 5y + (8 + 2y) = y + 12 Reorder the terms: 8 + 5y + 2y = y + 12 Combine like terms: 5y + 2y = 7y 8 + 7y = y + 12 Reorder the terms: 8 + 7y = 12 + y Solving 8 + 7y = 12 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 8 + 7y + -1y = 12 + y + -1y Combine like terms: 7y + -1y = 6y 8 + 6y = 12 + y + -1y Combine like terms: y + -1y = 0 8 + 6y = 12 + 0 8 + 6y = 12 Add '-8' to each side of the equation. 8 + -8 + 6y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 6y = 12 + -8 6y = 12 + -8 Combine like terms: 12 + -8 = 4 6y = 4 Divide each side by '6'. y = 0.6666666667 Simplifying y = 0.6666666667
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