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Simplifying 12y + -1[9(2 + -1y) + -8] = 5y + 3(6 + -4y) 12y + -1[(2 * 9 + -1y * 9) + -8] = 5y + 3(6 + -4y) 12y + -1[(18 + -9y) + -8] = 5y + 3(6 + -4y) Reorder the terms: 12y + -1[18 + -8 + -9y] = 5y + 3(6 + -4y) Combine like terms: 18 + -8 = 10 12y + -1[10 + -9y] = 5y + 3(6 + -4y) 12y + [10 * -1 + -9y * -1] = 5y + 3(6 + -4y) 12y + [-10 + 9y] = 5y + 3(6 + -4y) Reorder the terms: -10 + 12y + 9y = 5y + 3(6 + -4y) Combine like terms: 12y + 9y = 21y -10 + 21y = 5y + 3(6 + -4y) -10 + 21y = 5y + (6 * 3 + -4y * 3) -10 + 21y = 5y + (18 + -12y) Reorder the terms: -10 + 21y = 18 + 5y + -12y Combine like terms: 5y + -12y = -7y -10 + 21y = 18 + -7y Solving -10 + 21y = 18 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -10 + 21y + 7y = 18 + -7y + 7y Combine like terms: 21y + 7y = 28y -10 + 28y = 18 + -7y + 7y Combine like terms: -7y + 7y = 0 -10 + 28y = 18 + 0 -10 + 28y = 18 Add '10' to each side of the equation. -10 + 10 + 28y = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 28y = 18 + 10 28y = 18 + 10 Combine like terms: 18 + 10 = 28 28y = 28 Divide each side by '28'. y = 1 Simplifying y = 1
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