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Simplifying 2(y + 5) + 9(y + -4) + 7 = 0 Reorder the terms: 2(5 + y) + 9(y + -4) + 7 = 0 (5 * 2 + y * 2) + 9(y + -4) + 7 = 0 (10 + 2y) + 9(y + -4) + 7 = 0 Reorder the terms: 10 + 2y + 9(-4 + y) + 7 = 0 10 + 2y + (-4 * 9 + y * 9) + 7 = 0 10 + 2y + (-36 + 9y) + 7 = 0 Reorder the terms: 10 + -36 + 7 + 2y + 9y = 0 Combine like terms: 10 + -36 = -26 -26 + 7 + 2y + 9y = 0 Combine like terms: -26 + 7 = -19 -19 + 2y + 9y = 0 Combine like terms: 2y + 9y = 11y -19 + 11y = 0 Solving -19 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 11y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 11y = 0 + 19 11y = 0 + 19 Combine like terms: 0 + 19 = 19 11y = 19 Divide each side by '11'. y = 1.727272727 Simplifying y = 1.727272727
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