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Simplifying 0.25(y + 6) = 2y + -3 Reorder the terms: 0.25(6 + y) = 2y + -3 (6 * 0.25 + y * 0.25) = 2y + -3 (1.5 + 0.25y) = 2y + -3 Reorder the terms: 1.5 + 0.25y = -3 + 2y Solving 1.5 + 0.25y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 1.5 + 0.25y + -2y = -3 + 2y + -2y Combine like terms: 0.25y + -2y = -1.75y 1.5 + -1.75y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 1.5 + -1.75y = -3 + 0 1.5 + -1.75y = -3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1.75y = -3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.75y = -3 + -1.5 -1.75y = -3 + -1.5 Combine like terms: -3 + -1.5 = -4.5 -1.75y = -4.5 Divide each side by '-1.75'. y = 2.571428571 Simplifying y = 2.571428571
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