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Simplifying 5(y + 9) = -3y + -11 Reorder the terms: 5(9 + y) = -3y + -11 (9 * 5 + y * 5) = -3y + -11 (45 + 5y) = -3y + -11 Reorder the terms: 45 + 5y = -11 + -3y Solving 45 + 5y = -11 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 45 + 5y + 3y = -11 + -3y + 3y Combine like terms: 5y + 3y = 8y 45 + 8y = -11 + -3y + 3y Combine like terms: -3y + 3y = 0 45 + 8y = -11 + 0 45 + 8y = -11 Add '-45' to each side of the equation. 45 + -45 + 8y = -11 + -45 Combine like terms: 45 + -45 = 0 0 + 8y = -11 + -45 8y = -11 + -45 Combine like terms: -11 + -45 = -56 8y = -56 Divide each side by '8'. y = -7 Simplifying y = -7
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