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Simplifying 6.5(y + -4) = 5.2 + -1y Reorder the terms: 6.5(-4 + y) = 5.2 + -1y (-4 * 6.5 + y * 6.5) = 5.2 + -1y (-26 + 6.5y) = 5.2 + -1y Solving -26 + 6.5y = 5.2 + -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. -26 + 6.5y + y = 5.2 + -1y + y Combine like terms: 6.5y + y = 7.5y -26 + 7.5y = 5.2 + -1y + y Combine like terms: -1y + y = 0 -26 + 7.5y = 5.2 + 0 -26 + 7.5y = 5.2 Add '26' to each side of the equation. -26 + 26 + 7.5y = 5.2 + 26 Combine like terms: -26 + 26 = 0 0 + 7.5y = 5.2 + 26 7.5y = 5.2 + 26 Combine like terms: 5.2 + 26 = 31.2 7.5y = 31.2 Divide each side by '7.5'. y = 4.16 Simplifying y = 4.16
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