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Simplifying -30.5 = -6.5 + 4.5(y + 3.5) Reorder the terms: -30.5 = -6.5 + 4.5(3.5 + y) -30.5 = -6.5 + (3.5 * 4.5 + y * 4.5) -30.5 = -6.5 + (15.75 + 4.5y) Combine like terms: -6.5 + 15.75 = 9.25 -30.5 = 9.25 + 4.5y Solving -30.5 = 9.25 + 4.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4.5y' to each side of the equation. -30.5 + -4.5y = 9.25 + 4.5y + -4.5y Combine like terms: 4.5y + -4.5y = 0.0 -30.5 + -4.5y = 9.25 + 0.0 -30.5 + -4.5y = 9.25 Add '30.5' to each side of the equation. -30.5 + 30.5 + -4.5y = 9.25 + 30.5 Combine like terms: -30.5 + 30.5 = 0.0 0.0 + -4.5y = 9.25 + 30.5 -4.5y = 9.25 + 30.5 Combine like terms: 9.25 + 30.5 = 39.75 -4.5y = 39.75 Divide each side by '-4.5'. y = -8.833333333 Simplifying y = -8.833333333
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