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Simplifying 3(0.25 + 0.75y) = 3y + -3 (0.25 * 3 + 0.75y * 3) = 3y + -3 (0.75 + 2.25y) = 3y + -3 Reorder the terms: 0.75 + 2.25y = -3 + 3y Solving 0.75 + 2.25y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 0.75 + 2.25y + -3y = -3 + 3y + -3y Combine like terms: 2.25y + -3y = -0.75y 0.75 + -0.75y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 0.75 + -0.75y = -3 + 0 0.75 + -0.75y = -3 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.75y = -3 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.75y = -3 + -0.75 -0.75y = -3 + -0.75 Combine like terms: -3 + -0.75 = -3.75 -0.75y = -3.75 Divide each side by '-0.75'. y = 5 Simplifying y = 5
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