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Simplifying 5y + 78 + 82[2y + 8y + -11y] = 11 Combine like terms: 2y + 8y = 10y 5y + 78 + 82[10y + -11y] = 11 Combine like terms: 10y + -11y = -1y 5y + 78 + 82[-1y] = 11 Remove brackets around [-1y] 5y + 78 + 82 * -1y = 11 Multiply 82 * -1 5y + 78 + -82y = 11 Reorder the terms: 78 + 5y + -82y = 11 Combine like terms: 5y + -82y = -77y 78 + -77y = 11 Solving 78 + -77y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -77y = 11 + -78 Combine like terms: 78 + -78 = 0 0 + -77y = 11 + -78 -77y = 11 + -78 Combine like terms: 11 + -78 = -67 -77y = -67 Divide each side by '-77'. y = 0.8701298701 Simplifying y = 0.8701298701
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