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Simplifying 8 + (y + -5) = -5(y + -9) Reorder the terms: 8 + (-5 + y) = -5(y + -9) Remove parenthesis around (-5 + y) 8 + -5 + y = -5(y + -9) Combine like terms: 8 + -5 = 3 3 + y = -5(y + -9) Reorder the terms: 3 + y = -5(-9 + y) 3 + y = (-9 * -5 + y * -5) 3 + y = (45 + -5y) Solving 3 + y = 45 + -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. 3 + y + 5y = 45 + -5y + 5y Combine like terms: y + 5y = 6y 3 + 6y = 45 + -5y + 5y Combine like terms: -5y + 5y = 0 3 + 6y = 45 + 0 3 + 6y = 45 Add '-3' to each side of the equation. 3 + -3 + 6y = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6y = 45 + -3 6y = 45 + -3 Combine like terms: 45 + -3 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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