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Simplifying 9(2(5) + 3) + 2 = 11(5 + -1y) Multiply 2 * 5 9(10 + 3) + 2 = 11(5 + -1y) Combine like terms: 10 + 3 = 13 9(13) + 2 = 11(5 + -1y) Multiply 9 * 13 117 + 2 = 11(5 + -1y) Combine like terms: 117 + 2 = 119 119 = 11(5 + -1y) 119 = (5 * 11 + -1y * 11) 119 = (55 + -11y) Solving 119 = 55 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 119 + 11y = 55 + -11y + 11y Combine like terms: -11y + 11y = 0 119 + 11y = 55 + 0 119 + 11y = 55 Add '-119' to each side of the equation. 119 + -119 + 11y = 55 + -119 Combine like terms: 119 + -119 = 0 0 + 11y = 55 + -119 11y = 55 + -119 Combine like terms: 55 + -119 = -64 11y = -64 Divide each side by '11'. y = -5.818181818 Simplifying y = -5.818181818
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