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Simplifying 6.5(y + -9) = 2.7 + -1y Reorder the terms: 6.5(-9 + y) = 2.7 + -1y (-9 * 6.5 + y * 6.5) = 2.7 + -1y (-58.5 + 6.5y) = 2.7 + -1y Solving -58.5 + 6.5y = 2.7 + -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. -58.5 + 6.5y + y = 2.7 + -1y + y Combine like terms: 6.5y + y = 7.5y -58.5 + 7.5y = 2.7 + -1y + y Combine like terms: -1y + y = 0 -58.5 + 7.5y = 2.7 + 0 -58.5 + 7.5y = 2.7 Add '58.5' to each side of the equation. -58.5 + 58.5 + 7.5y = 2.7 + 58.5 Combine like terms: -58.5 + 58.5 = 0.0 0.0 + 7.5y = 2.7 + 58.5 7.5y = 2.7 + 58.5 Combine like terms: 2.7 + 58.5 = 61.2 7.5y = 61.2 Divide each side by '7.5'. y = 8.16 Simplifying y = 8.16
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