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Simplifying 8y + 41 = 3(y + 2) Reorder the terms: 41 + 8y = 3(y + 2) Reorder the terms: 41 + 8y = 3(2 + y) 41 + 8y = (2 * 3 + y * 3) 41 + 8y = (6 + 3y) Solving 41 + 8y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 41 + 8y + -3y = 6 + 3y + -3y Combine like terms: 8y + -3y = 5y 41 + 5y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 41 + 5y = 6 + 0 41 + 5y = 6 Add '-41' to each side of the equation. 41 + -41 + 5y = 6 + -41 Combine like terms: 41 + -41 = 0 0 + 5y = 6 + -41 5y = 6 + -41 Combine like terms: 6 + -41 = -35 5y = -35 Divide each side by '5'. y = -7 Simplifying y = -7
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