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Simplifying 3(y + 5) + 2 = 8y + 42 Reorder the terms: 3(5 + y) + 2 = 8y + 42 (5 * 3 + y * 3) + 2 = 8y + 42 (15 + 3y) + 2 = 8y + 42 Reorder the terms: 15 + 2 + 3y = 8y + 42 Combine like terms: 15 + 2 = 17 17 + 3y = 8y + 42 Reorder the terms: 17 + 3y = 42 + 8y Solving 17 + 3y = 42 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 17 + 3y + -8y = 42 + 8y + -8y Combine like terms: 3y + -8y = -5y 17 + -5y = 42 + 8y + -8y Combine like terms: 8y + -8y = 0 17 + -5y = 42 + 0 17 + -5y = 42 Add '-17' to each side of the equation. 17 + -17 + -5y = 42 + -17 Combine like terms: 17 + -17 = 0 0 + -5y = 42 + -17 -5y = 42 + -17 Combine like terms: 42 + -17 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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