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Simplifying 8y + -2y + 3 = 5y + -12 Reorder the terms: 3 + 8y + -2y = 5y + -12 Combine like terms: 8y + -2y = 6y 3 + 6y = 5y + -12 Reorder the terms: 3 + 6y = -12 + 5y Solving 3 + 6y = -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. 3 + 6y + -5y = -12 + 5y + -5y Combine like terms: 6y + -5y = 1y 3 + 1y = -12 + 5y + -5y Combine like terms: 5y + -5y = 0 3 + 1y = -12 + 0 3 + 1y = -12 Add '-3' to each side of the equation. 3 + -3 + 1y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = -12 + -3 1y = -12 + -3 Combine like terms: -12 + -3 = -15 1y = -15 Divide each side by '1'. y = -15 Simplifying y = -15
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