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Simplifying 1.5(y + -6) = 8.9 + -1y Reorder the terms: 1.5(-6 + y) = 8.9 + -1y (-6 * 1.5 + y * 1.5) = 8.9 + -1y (-9 + 1.5y) = 8.9 + -1y Solving -9 + 1.5y = 8.9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -9 + 1.5y + y = 8.9 + -1y + y Combine like terms: 1.5y + y = 2.5y -9 + 2.5y = 8.9 + -1y + y Combine like terms: -1y + y = 0 -9 + 2.5y = 8.9 + 0 -9 + 2.5y = 8.9 Add '9' to each side of the equation. -9 + 9 + 2.5y = 8.9 + 9 Combine like terms: -9 + 9 = 0 0 + 2.5y = 8.9 + 9 2.5y = 8.9 + 9 Combine like terms: 8.9 + 9 = 17.9 2.5y = 17.9 Divide each side by '2.5'. y = 7.16 Simplifying y = 7.16
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