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Simplifying 21 + -1[4 + -8y + -3(y + 4)] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] Reorder the terms: 21 + -1[4 + -8y + -3(4 + y)] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] 21 + -1[4 + -8y + (4 * -3 + y * -3)] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] 21 + -1[4 + -8y + (-12 + -3y)] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] Reorder the terms: 21 + -1[4 + -12 + -8y + -3y] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] Combine like terms: 4 + -12 = -8 21 + -1[-8 + -8y + -3y] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] Combine like terms: -8y + -3y = -11y 21 + -1[-8 + -11y] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] 21 + [-8 * -1 + -11y * -1] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] 21 + [8 + 11y] = -3(2y + -6) + -1[9(y + -1) + -7y + 13] Combine like terms: 21 + 8 = 29 29 + 11y = -3(2y + -6) + -1[9(y + -1) + -7y + 13] Reorder the terms: 29 + 11y = -3(-6 + 2y) + -1[9(y + -1) + -7y + 13] 29 + 11y = (-6 * -3 + 2y * -3) + -1[9(y + -1) + -7y + 13] 29 + 11y = (18 + -6y) + -1[9(y + -1) + -7y + 13] Reorder the terms: 29 + 11y = 18 + -6y + -1[9(-1 + y) + -7y + 13] 29 + 11y = 18 + -6y + -1[(-1 * 9 + y * 9) + -7y + 13] 29 + 11y = 18 + -6y + -1[(-9 + 9y) + -7y + 13] Reorder the terms: 29 + 11y = 18 + -6y + -1[-9 + 13 + 9y + -7y] Combine like terms: -9 + 13 = 4 29 + 11y = 18 + -6y + -1[4 + 9y + -7y] Combine like terms: 9y + -7y = 2y 29 + 11y = 18 + -6y + -1[4 + 2y] 29 + 11y = 18 + -6y + [4 * -1 + 2y * -1] 29 + 11y = 18 + -6y + [-4 + -2y] Reorder the terms: 29 + 11y = 18 + -4 + -6y + -2y Combine like terms: 18 + -4 = 14 29 + 11y = 14 + -6y + -2y Combine like terms: -6y + -2y = -8y 29 + 11y = 14 + -8y Solving 29 + 11y = 14 + -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. 29 + 11y + 8y = 14 + -8y + 8y Combine like terms: 11y + 8y = 19y 29 + 19y = 14 + -8y + 8y Combine like terms: -8y + 8y = 0 29 + 19y = 14 + 0 29 + 19y = 14 Add '-29' to each side of the equation. 29 + -29 + 19y = 14 + -29 Combine like terms: 29 + -29 = 0 0 + 19y = 14 + -29 19y = 14 + -29 Combine like terms: 14 + -29 = -15 19y = -15 Divide each side by '19'. y = -0.7894736842 Simplifying y = -0.7894736842
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