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Simplifying 0.5y + -14 = -29 + 0.8y Reorder the terms: -14 + 0.5y = -29 + 0.8y Solving -14 + 0.5y = -29 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. -14 + 0.5y + -0.8y = -29 + 0.8y + -0.8y Combine like terms: 0.5y + -0.8y = -0.3y -14 + -0.3y = -29 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 -14 + -0.3y = -29 + 0.0 -14 + -0.3y = -29 Add '14' to each side of the equation. -14 + 14 + -0.3y = -29 + 14 Combine like terms: -14 + 14 = 0 0 + -0.3y = -29 + 14 -0.3y = -29 + 14 Combine like terms: -29 + 14 = -15 -0.3y = -15 Divide each side by '-0.3'. y = 50 Simplifying y = 50
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