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Simplifying 0.5y + -9 = 4y + 5 Reorder the terms: -9 + 0.5y = 4y + 5 Reorder the terms: -9 + 0.5y = 5 + 4y Solving -9 + 0.5y = 5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -9 + 0.5y + -4y = 5 + 4y + -4y Combine like terms: 0.5y + -4y = -3.5y -9 + -3.5y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + -3.5y = 5 + 0 -9 + -3.5y = 5 Add '9' to each side of the equation. -9 + 9 + -3.5y = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -3.5y = 5 + 9 -3.5y = 5 + 9 Combine like terms: 5 + 9 = 14 -3.5y = 14 Divide each side by '-3.5'. y = -4 Simplifying y = -4
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