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Simplifying [8y + 4] = 2[y + -1] Reorder the terms: [4 + 8y] = 2[y + -1] Remove brackets around [4 + 8y] 4 + 8y = 2[y + -1] Reorder the terms: 4 + 8y = 2[-1 + y] 4 + 8y = [-1 * 2 + y * 2] 4 + 8y = [-2 + 2y] Solving 4 + 8y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4 + 8y + -2y = -2 + 2y + -2y Combine like terms: 8y + -2y = 6y 4 + 6y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 4 + 6y = -2 + 0 4 + 6y = -2 Add '-4' to each side of the equation. 4 + -4 + 6y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 6y = -2 + -4 6y = -2 + -4 Combine like terms: -2 + -4 = -6 6y = -6 Divide each side by '6'. y = -1 Simplifying y = -1
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