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Simplifying 8y + 41 = 5(y + 7) Reorder the terms: 41 + 8y = 5(y + 7) Reorder the terms: 41 + 8y = 5(7 + y) 41 + 8y = (7 * 5 + y * 5) 41 + 8y = (35 + 5y) Solving 41 + 8y = 35 + 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 = 35 + 5y + -5y Combine like terms: 8y + -5y = 3y 41 + 3y = 35 + 5y + -5y Combine like terms: 5y + -5y = 0 41 + 3y = 35 + 0 41 + 3y = 35 Add '-41' to each side of the equation. 41 + -41 + 3y = 35 + -41 Combine like terms: 41 + -41 = 0 0 + 3y = 35 + -41 3y = 35 + -41 Combine like terms: 35 + -41 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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