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Simplifying -2y + -3 + 8 = 8 + -5y + -12 Reorder the terms: -3 + 8 + -2y = 8 + -5y + -12 Combine like terms: -3 + 8 = 5 5 + -2y = 8 + -5y + -12 Reorder the terms: 5 + -2y = 8 + -12 + -5y Combine like terms: 8 + -12 = -4 5 + -2y = -4 + -5y Solving 5 + -2y = -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. 5 + -2y + 5y = -4 + -5y + 5y Combine like terms: -2y + 5y = 3y 5 + 3y = -4 + -5y + 5y Combine like terms: -5y + 5y = 0 5 + 3y = -4 + 0 5 + 3y = -4 Add '-5' to each side of the equation. 5 + -5 + 3y = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = -4 + -5 3y = -4 + -5 Combine like terms: -4 + -5 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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