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Simplifying 4(6y + -4) + 17 = 2(5y + 5) + 20 Reorder the terms: 4(-4 + 6y) + 17 = 2(5y + 5) + 20 (-4 * 4 + 6y * 4) + 17 = 2(5y + 5) + 20 (-16 + 24y) + 17 = 2(5y + 5) + 20 Reorder the terms: -16 + 17 + 24y = 2(5y + 5) + 20 Combine like terms: -16 + 17 = 1 1 + 24y = 2(5y + 5) + 20 Reorder the terms: 1 + 24y = 2(5 + 5y) + 20 1 + 24y = (5 * 2 + 5y * 2) + 20 1 + 24y = (10 + 10y) + 20 Reorder the terms: 1 + 24y = 10 + 20 + 10y Combine like terms: 10 + 20 = 30 1 + 24y = 30 + 10y Solving 1 + 24y = 30 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 1 + 24y + -10y = 30 + 10y + -10y Combine like terms: 24y + -10y = 14y 1 + 14y = 30 + 10y + -10y Combine like terms: 10y + -10y = 0 1 + 14y = 30 + 0 1 + 14y = 30 Add '-1' to each side of the equation. 1 + -1 + 14y = 30 + -1 Combine like terms: 1 + -1 = 0 0 + 14y = 30 + -1 14y = 30 + -1 Combine like terms: 30 + -1 = 29 14y = 29 Divide each side by '14'. y = 2.071428571 Simplifying y = 2.071428571
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