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Simplifying -3[-6 + -2y] = 4[2y + -3] + -1 [-6 * -3 + -2y * -3] = 4[2y + -3] + -1 [18 + 6y] = 4[2y + -3] + -1 Reorder the terms: 18 + 6y = 4[-3 + 2y] + -1 18 + 6y = [-3 * 4 + 2y * 4] + -1 18 + 6y = [-12 + 8y] + -1 Reorder the terms: 18 + 6y = -12 + -1 + 8y Combine like terms: -12 + -1 = -13 18 + 6y = -13 + 8y Solving 18 + 6y = -13 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 18 + 6y + -8y = -13 + 8y + -8y Combine like terms: 6y + -8y = -2y 18 + -2y = -13 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + -2y = -13 + 0 18 + -2y = -13 Add '-18' to each side of the equation. 18 + -18 + -2y = -13 + -18 Combine like terms: 18 + -18 = 0 0 + -2y = -13 + -18 -2y = -13 + -18 Combine like terms: -13 + -18 = -31 -2y = -31 Divide each side by '-2'. y = 15.5 Simplifying y = 15.5
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