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Simplifying 2[6y + -1(3y + 1)] = 4y + -5 Reorder the terms: 2[6y + -1(1 + 3y)] = 4y + -5 2[6y + (1 * -1 + 3y * -1)] = 4y + -5 2[6y + (-1 + -3y)] = 4y + -5 Reorder the terms: 2[-1 + 6y + -3y] = 4y + -5 Combine like terms: 6y + -3y = 3y 2[-1 + 3y] = 4y + -5 [-1 * 2 + 3y * 2] = 4y + -5 [-2 + 6y] = 4y + -5 Reorder the terms: -2 + 6y = -5 + 4y Solving -2 + 6y = -5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -2 + 6y + -4y = -5 + 4y + -4y Combine like terms: 6y + -4y = 2y -2 + 2y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 2y = -5 + 0 -2 + 2y = -5 Add '2' to each side of the equation. -2 + 2 + 2y = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = -5 + 2 2y = -5 + 2 Combine like terms: -5 + 2 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5
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