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Simplifying 0.75y + -6 = 0.25y + 10 Reorder the terms: -6 + 0.75y = 0.25y + 10 Reorder the terms: -6 + 0.75y = 10 + 0.25y Solving -6 + 0.75y = 10 + 0.25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.25y' to each side of the equation. -6 + 0.75y + -0.25y = 10 + 0.25y + -0.25y Combine like terms: 0.75y + -0.25y = 0.5y -6 + 0.5y = 10 + 0.25y + -0.25y Combine like terms: 0.25y + -0.25y = 0.00 -6 + 0.5y = 10 + 0.00 -6 + 0.5y = 10 Add '6' to each side of the equation. -6 + 6 + 0.5y = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 0.5y = 10 + 6 0.5y = 10 + 6 Combine like terms: 10 + 6 = 16 0.5y = 16 Divide each side by '0.5'. y = 32 Simplifying y = 32
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