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Simplifying 14 + 5(2y + 8) = (y + 2) + -29 Reorder the terms: 14 + 5(8 + 2y) = (y + 2) + -29 14 + (8 * 5 + 2y * 5) = (y + 2) + -29 14 + (40 + 10y) = (y + 2) + -29 Combine like terms: 14 + 40 = 54 54 + 10y = (y + 2) + -29 Reorder the terms: 54 + 10y = (2 + y) + -29 Remove parenthesis around (2 + y) 54 + 10y = 2 + y + -29 Reorder the terms: 54 + 10y = 2 + -29 + y Combine like terms: 2 + -29 = -27 54 + 10y = -27 + y Solving 54 + 10y = -27 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 54 + 10y + -1y = -27 + y + -1y Combine like terms: 10y + -1y = 9y 54 + 9y = -27 + y + -1y Combine like terms: y + -1y = 0 54 + 9y = -27 + 0 54 + 9y = -27 Add '-54' to each side of the equation. 54 + -54 + 9y = -27 + -54 Combine like terms: 54 + -54 = 0 0 + 9y = -27 + -54 9y = -27 + -54 Combine like terms: -27 + -54 = -81 9y = -81 Divide each side by '9'. y = -9 Simplifying y = -9
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