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Simplifying 2y + -3y + 8 = 8 + -5y + -12 Reorder the terms: 8 + 2y + -3y = 8 + -5y + -12 Combine like terms: 2y + -3y = -1y 8 + -1y = 8 + -5y + -12 Reorder the terms: 8 + -1y = 8 + -12 + -5y Combine like terms: 8 + -12 = -4 8 + -1y = -4 + -5y Solving 8 + -1y = -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 + -1y + 5y = -4 + -5y + 5y Combine like terms: -1y + 5y = 4y 8 + 4y = -4 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + 4y = -4 + 0 8 + 4y = -4 Add '-8' to each side of the equation. 8 + -8 + 4y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = -4 + -8 4y = -4 + -8 Combine like terms: -4 + -8 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
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