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Simplifying 269 = 11(157 + -8y) + 7y 269 = (157 * 11 + -8y * 11) + 7y 269 = (1727 + -88y) + 7y Combine like terms: -88y + 7y = -81y 269 = 1727 + -81y Solving 269 = 1727 + -81y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81y' to each side of the equation. 269 + 81y = 1727 + -81y + 81y Combine like terms: -81y + 81y = 0 269 + 81y = 1727 + 0 269 + 81y = 1727 Add '-269' to each side of the equation. 269 + -269 + 81y = 1727 + -269 Combine like terms: 269 + -269 = 0 0 + 81y = 1727 + -269 81y = 1727 + -269 Combine like terms: 1727 + -269 = 1458 81y = 1458 Divide each side by '81'. y = 18 Simplifying y = 18
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