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Simplifying 14 + -1[-3(y + -4) + 9] = [4(2y + 3) + -6] + 4 Reorder the terms: 14 + -1[-3(-4 + y) + 9] = [4(2y + 3) + -6] + 4 14 + -1[(-4 * -3 + y * -3) + 9] = [4(2y + 3) + -6] + 4 14 + -1[(12 + -3y) + 9] = [4(2y + 3) + -6] + 4 Reorder the terms: 14 + -1[12 + 9 + -3y] = [4(2y + 3) + -6] + 4 Combine like terms: 12 + 9 = 21 14 + -1[21 + -3y] = [4(2y + 3) + -6] + 4 14 + [21 * -1 + -3y * -1] = [4(2y + 3) + -6] + 4 14 + [-21 + 3y] = [4(2y + 3) + -6] + 4 Combine like terms: 14 + -21 = -7 -7 + 3y = [4(2y + 3) + -6] + 4 Reorder the terms: -7 + 3y = [4(3 + 2y) + -6] + 4 -7 + 3y = [(3 * 4 + 2y * 4) + -6] + 4 -7 + 3y = [(12 + 8y) + -6] + 4 Reorder the terms: -7 + 3y = [12 + -6 + 8y] + 4 Combine like terms: 12 + -6 = 6 -7 + 3y = [6 + 8y] + 4 Remove brackets around [6 + 8y] -7 + 3y = 6 + 8y + 4 Reorder the terms: -7 + 3y = 6 + 4 + 8y Combine like terms: 6 + 4 = 10 -7 + 3y = 10 + 8y Solving -7 + 3y = 10 + 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. -7 + 3y + -8y = 10 + 8y + -8y Combine like terms: 3y + -8y = -5y -7 + -5y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -5y = 10 + 0 -7 + -5y = 10 Add '7' to each side of the equation. -7 + 7 + -5y = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -5y = 10 + 7 -5y = 10 + 7 Combine like terms: 10 + 7 = 17 -5y = 17 Divide each side by '-5'. y = -3.4 Simplifying y = -3.4
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