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Simplifying -1y + 8 = -8y + 3y + -12 Reorder the terms: 8 + -1y = -8y + 3y + -12 Reorder the terms: 8 + -1y = -12 + -8y + 3y Combine like terms: -8y + 3y = -5y 8 + -1y = -12 + -5y Solving 8 + -1y = -12 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 8 + -1y + 5y = -12 + -5y + 5y Combine like terms: -1y + 5y = 4y 8 + 4y = -12 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + 4y = -12 + 0 8 + 4y = -12 Add '-8' to each side of the equation. 8 + -8 + 4y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = -12 + -8 4y = -12 + -8 Combine like terms: -12 + -8 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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