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Simplifying 8y + 41 = -5(y + -3) Reorder the terms: 41 + 8y = -5(y + -3) Reorder the terms: 41 + 8y = -5(-3 + y) 41 + 8y = (-3 * -5 + y * -5) 41 + 8y = (15 + -5y) Solving 41 + 8y = 15 + -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 = 15 + -5y + 5y Combine like terms: 8y + 5y = 13y 41 + 13y = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 41 + 13y = 15 + 0 41 + 13y = 15 Add '-41' to each side of the equation. 41 + -41 + 13y = 15 + -41 Combine like terms: 41 + -41 = 0 0 + 13y = 15 + -41 13y = 15 + -41 Combine like terms: 15 + -41 = -26 13y = -26 Divide each side by '13'. y = -2 Simplifying y = -2
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