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Simplifying 24y + -2[6 + -1y] = 6[3y + 2] 24y + [6 * -2 + -1y * -2] = 6[3y + 2] 24y + [-12 + 2y] = 6[3y + 2] Reorder the terms: -12 + 24y + 2y = 6[3y + 2] Combine like terms: 24y + 2y = 26y -12 + 26y = 6[3y + 2] Reorder the terms: -12 + 26y = 6[2 + 3y] -12 + 26y = [2 * 6 + 3y * 6] -12 + 26y = [12 + 18y] Solving -12 + 26y = 12 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -12 + 26y + -18y = 12 + 18y + -18y Combine like terms: 26y + -18y = 8y -12 + 8y = 12 + 18y + -18y Combine like terms: 18y + -18y = 0 -12 + 8y = 12 + 0 -12 + 8y = 12 Add '12' to each side of the equation. -12 + 12 + 8y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 12 + 12 8y = 12 + 12 Combine like terms: 12 + 12 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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