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Simplifying 8y + 41 = 5(y + 4) Reorder the terms: 41 + 8y = 5(y + 4) Reorder the terms: 41 + 8y = 5(4 + y) 41 + 8y = (4 * 5 + y * 5) 41 + 8y = (20 + 5y) Solving 41 + 8y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 41 + 8y + -5y = 20 + 5y + -5y Combine like terms: 8y + -5y = 3y 41 + 3y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 41 + 3y = 20 + 0 41 + 3y = 20 Add '-41' to each side of the equation. 41 + -41 + 3y = 20 + -41 Combine like terms: 41 + -41 = 0 0 + 3y = 20 + -41 3y = 20 + -41 Combine like terms: 20 + -41 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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