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Simplifying 5(y + 4) + 9(y + -3) + 2 = 0 Reorder the terms: 5(4 + y) + 9(y + -3) + 2 = 0 (4 * 5 + y * 5) + 9(y + -3) + 2 = 0 (20 + 5y) + 9(y + -3) + 2 = 0 Reorder the terms: 20 + 5y + 9(-3 + y) + 2 = 0 20 + 5y + (-3 * 9 + y * 9) + 2 = 0 20 + 5y + (-27 + 9y) + 2 = 0 Reorder the terms: 20 + -27 + 2 + 5y + 9y = 0 Combine like terms: 20 + -27 = -7 -7 + 2 + 5y + 9y = 0 Combine like terms: -7 + 2 = -5 -5 + 5y + 9y = 0 Combine like terms: 5y + 9y = 14y -5 + 14y = 0 Solving -5 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 14y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 14y = 0 + 5 14y = 0 + 5 Combine like terms: 0 + 5 = 5 14y = 5 Divide each side by '14'. y = 0.3571428571 Simplifying y = 0.3571428571
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