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Simplifying -20.5 = -8.5 + 3.5(y + 9) Reorder the terms: -20.5 = -8.5 + 3.5(9 + y) -20.5 = -8.5 + (9 * 3.5 + y * 3.5) -20.5 = -8.5 + (31.5 + 3.5y) Combine like terms: -8.5 + 31.5 = 23 -20.5 = 23 + 3.5y Solving -20.5 = 23 + 3.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.5y' to each side of the equation. -20.5 + -3.5y = 23 + 3.5y + -3.5y Combine like terms: 3.5y + -3.5y = 0.0 -20.5 + -3.5y = 23 + 0.0 -20.5 + -3.5y = 23 Add '20.5' to each side of the equation. -20.5 + 20.5 + -3.5y = 23 + 20.5 Combine like terms: -20.5 + 20.5 = 0.0 0.0 + -3.5y = 23 + 20.5 -3.5y = 23 + 20.5 Combine like terms: 23 + 20.5 = 43.5 -3.5y = 43.5 Divide each side by '-3.5'. y = -12.42857143 Simplifying y = -12.42857143
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