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Simplifying -5y + -12 = 8y + 24 Reorder the terms: -12 + -5y = 8y + 24 Reorder the terms: -12 + -5y = 24 + 8y Solving -12 + -5y = 24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -12 + -5y + -8y = 24 + 8y + -8y Combine like terms: -5y + -8y = -13y -12 + -13y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 -12 + -13y = 24 + 0 -12 + -13y = 24 Add '12' to each side of the equation. -12 + 12 + -13y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -13y = 24 + 12 -13y = 24 + 12 Combine like terms: 24 + 12 = 36 -13y = 36 Divide each side by '-13'. y = -2.769230769 Simplifying y = -2.769230769
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