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Simplifying -1y + -3y + 8 = 8 + -5y + -12 Reorder the terms: 8 + -1y + -3y = 8 + -5y + -12 Combine like terms: -1y + -3y = -4y 8 + -4y = 8 + -5y + -12 Reorder the terms: 8 + -4y = 8 + -12 + -5y Combine like terms: 8 + -12 = -4 8 + -4y = -4 + -5y Solving 8 + -4y = -4 + -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 + -4y + 5y = -4 + -5y + 5y Combine like terms: -4y + 5y = 1y 8 + 1y = -4 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + 1y = -4 + 0 8 + 1y = -4 Add '-8' to each side of the equation. 8 + -8 + 1y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = -4 + -8 1y = -4 + -8 Combine like terms: -4 + -8 = -12 1y = -12 Divide each side by '1'. y = -12 Simplifying y = -12
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