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Simplifying 0.5y + 3 = 2y + -1 Reorder the terms: 3 + 0.5y = 2y + -1 Reorder the terms: 3 + 0.5y = -1 + 2y Solving 3 + 0.5y = -1 + 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 = -1 + 2y + -2y Combine like terms: 0.5y + -2y = -1.5y 3 + -1.5y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + -1.5y = -1 + 0 3 + -1.5y = -1 Add '-3' to each side of the equation. 3 + -3 + -1.5y = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5y = -1 + -3 -1.5y = -1 + -3 Combine like terms: -1 + -3 = -4 -1.5y = -4 Divide each side by '-1.5'. y = 2.666666667 Simplifying y = 2.666666667
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