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Simplifying 0.5y + -3 = 2y + 12 Reorder the terms: -3 + 0.5y = 2y + 12 Reorder the terms: -3 + 0.5y = 12 + 2y Solving -3 + 0.5y = 12 + 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 = 12 + 2y + -2y Combine like terms: 0.5y + -2y = -1.5y -3 + -1.5y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + -1.5y = 12 + 0 -3 + -1.5y = 12 Add '3' to each side of the equation. -3 + 3 + -1.5y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -1.5y = 12 + 3 -1.5y = 12 + 3 Combine like terms: 12 + 3 = 15 -1.5y = 15 Divide each side by '-1.5'. y = -10 Simplifying y = -10
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