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Simplifying 6.5(y + -8) = 1.7 + -1y Reorder the terms: 6.5(-8 + y) = 1.7 + -1y (-8 * 6.5 + y * 6.5) = 1.7 + -1y (-52 + 6.5y) = 1.7 + -1y Solving -52 + 6.5y = 1.7 + -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. -52 + 6.5y + y = 1.7 + -1y + y Combine like terms: 6.5y + y = 7.5y -52 + 7.5y = 1.7 + -1y + y Combine like terms: -1y + y = 0 -52 + 7.5y = 1.7 + 0 -52 + 7.5y = 1.7 Add '52' to each side of the equation. -52 + 52 + 7.5y = 1.7 + 52 Combine like terms: -52 + 52 = 0 0 + 7.5y = 1.7 + 52 7.5y = 1.7 + 52 Combine like terms: 1.7 + 52 = 53.7 7.5y = 53.7 Divide each side by '7.5'. y = 7.16 Simplifying y = 7.16
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