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Simplifying 6y + -9(0.75 + 0.5y) = 3 6y + (0.75 * -9 + 0.5y * -9) = 3 6y + (-6.75 + -4.5y) = 3 Reorder the terms: -6.75 + 6y + -4.5y = 3 Combine like terms: 6y + -4.5y = 1.5y -6.75 + 1.5y = 3 Solving -6.75 + 1.5y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.75' to each side of the equation. -6.75 + 6.75 + 1.5y = 3 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + 1.5y = 3 + 6.75 1.5y = 3 + 6.75 Combine like terms: 3 + 6.75 = 9.75 1.5y = 9.75 Divide each side by '1.5'. y = 6.5 Simplifying y = 6.5
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