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Simplifying 12y + -8y + 5 + -2y = 8 + y + -12 Reorder the terms: 5 + 12y + -8y + -2y = 8 + y + -12 Combine like terms: 12y + -8y = 4y 5 + 4y + -2y = 8 + y + -12 Combine like terms: 4y + -2y = 2y 5 + 2y = 8 + y + -12 Reorder the terms: 5 + 2y = 8 + -12 + y Combine like terms: 8 + -12 = -4 5 + 2y = -4 + y Solving 5 + 2y = -4 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 5 + 2y + -1y = -4 + y + -1y Combine like terms: 2y + -1y = 1y 5 + 1y = -4 + y + -1y Combine like terms: y + -1y = 0 5 + 1y = -4 + 0 5 + 1y = -4 Add '-5' to each side of the equation. 5 + -5 + 1y = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = -4 + -5 1y = -4 + -5 Combine like terms: -4 + -5 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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