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Simplifying 5(y + 9) = -2y + -4 Reorder the terms: 5(9 + y) = -2y + -4 (9 * 5 + y * 5) = -2y + -4 (45 + 5y) = -2y + -4 Reorder the terms: 45 + 5y = -4 + -2y Solving 45 + 5y = -4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 45 + 5y + 2y = -4 + -2y + 2y Combine like terms: 5y + 2y = 7y 45 + 7y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 45 + 7y = -4 + 0 45 + 7y = -4 Add '-45' to each side of the equation. 45 + -45 + 7y = -4 + -45 Combine like terms: 45 + -45 = 0 0 + 7y = -4 + -45 7y = -4 + -45 Combine like terms: -4 + -45 = -49 7y = -49 Divide each side by '7'. y = -7 Simplifying y = -7
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