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Simplifying 9y + 43 = -5(y + -3) Reorder the terms: 43 + 9y = -5(y + -3) Reorder the terms: 43 + 9y = -5(-3 + y) 43 + 9y = (-3 * -5 + y * -5) 43 + 9y = (15 + -5y) Solving 43 + 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. 43 + 9y + 5y = 15 + -5y + 5y Combine like terms: 9y + 5y = 14y 43 + 14y = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 43 + 14y = 15 + 0 43 + 14y = 15 Add '-43' to each side of the equation. 43 + -43 + 14y = 15 + -43 Combine like terms: 43 + -43 = 0 0 + 14y = 15 + -43 14y = 15 + -43 Combine like terms: 15 + -43 = -28 14y = -28 Divide each side by '14'. y = -2 Simplifying y = -2
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