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Simplifying 0.5(y + 2) + 2 = 0.25(8y + -60) + -3 Reorder the terms: 0.5(2 + y) + 2 = 0.25(8y + -60) + -3 (2 * 0.5 + y * 0.5) + 2 = 0.25(8y + -60) + -3 (1 + 0.5y) + 2 = 0.25(8y + -60) + -3 Reorder the terms: 1 + 2 + 0.5y = 0.25(8y + -60) + -3 Combine like terms: 1 + 2 = 3 3 + 0.5y = 0.25(8y + -60) + -3 Reorder the terms: 3 + 0.5y = 0.25(-60 + 8y) + -3 3 + 0.5y = (-60 * 0.25 + 8y * 0.25) + -3 3 + 0.5y = (-15 + 2y) + -3 Reorder the terms: 3 + 0.5y = -15 + -3 + 2y Combine like terms: -15 + -3 = -18 3 + 0.5y = -18 + 2y Solving 3 + 0.5y = -18 + 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. 3 + 0.5y + -2y = -18 + 2y + -2y Combine like terms: 0.5y + -2y = -1.5y 3 + -1.5y = -18 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + -1.5y = -18 + 0 3 + -1.5y = -18 Add '-3' to each side of the equation. 3 + -3 + -1.5y = -18 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5y = -18 + -3 -1.5y = -18 + -3 Combine like terms: -18 + -3 = -21 -1.5y = -21 Divide each side by '-1.5'. y = 14 Simplifying y = 14
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