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Simplifying 6.5(y + -5) = 6.2 + -1y Reorder the terms: 6.5(-5 + y) = 6.2 + -1y (-5 * 6.5 + y * 6.5) = 6.2 + -1y (-32.5 + 6.5y) = 6.2 + -1y Solving -32.5 + 6.5y = 6.2 + -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. -32.5 + 6.5y + y = 6.2 + -1y + y Combine like terms: 6.5y + y = 7.5y -32.5 + 7.5y = 6.2 + -1y + y Combine like terms: -1y + y = 0 -32.5 + 7.5y = 6.2 + 0 -32.5 + 7.5y = 6.2 Add '32.5' to each side of the equation. -32.5 + 32.5 + 7.5y = 6.2 + 32.5 Combine like terms: -32.5 + 32.5 = 0.0 0.0 + 7.5y = 6.2 + 32.5 7.5y = 6.2 + 32.5 Combine like terms: 6.2 + 32.5 = 38.7 7.5y = 38.7 Divide each side by '7.5'. y = 5.16 Simplifying y = 5.16
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