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Simplifying 9y + 41 = -5(y + 3) Reorder the terms: 41 + 9y = -5(y + 3) Reorder the terms: 41 + 9y = -5(3 + y) 41 + 9y = (3 * -5 + y * -5) 41 + 9y = (-15 + -5y) Solving 41 + 9y = -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 + 9y + 5y = -15 + -5y + 5y Combine like terms: 9y + 5y = 14y 41 + 14y = -15 + -5y + 5y Combine like terms: -5y + 5y = 0 41 + 14y = -15 + 0 41 + 14y = -15 Add '-41' to each side of the equation. 41 + -41 + 14y = -15 + -41 Combine like terms: 41 + -41 = 0 0 + 14y = -15 + -41 14y = -15 + -41 Combine like terms: -15 + -41 = -56 14y = -56 Divide each side by '14'. y = -4 Simplifying y = -4
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