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Simplifying 24 + -1[1 + 6y + -2(y + 2)] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] Reorder the terms: 24 + -1[1 + 6y + -2(2 + y)] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] 24 + -1[1 + 6y + (2 * -2 + y * -2)] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] 24 + -1[1 + 6y + (-4 + -2y)] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] Reorder the terms: 24 + -1[1 + -4 + 6y + -2y] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] Combine like terms: 1 + -4 = -3 24 + -1[-3 + 6y + -2y] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] Combine like terms: 6y + -2y = 4y 24 + -1[-3 + 4y] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] 24 + [-3 * -1 + 4y * -1] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] 24 + [3 + -4y] = 4(3y + -6) + -1[7(y + -1) + -10y + 19] Combine like terms: 24 + 3 = 27 27 + -4y = 4(3y + -6) + -1[7(y + -1) + -10y + 19] Reorder the terms: 27 + -4y = 4(-6 + 3y) + -1[7(y + -1) + -10y + 19] 27 + -4y = (-6 * 4 + 3y * 4) + -1[7(y + -1) + -10y + 19] 27 + -4y = (-24 + 12y) + -1[7(y + -1) + -10y + 19] Reorder the terms: 27 + -4y = -24 + 12y + -1[7(-1 + y) + -10y + 19] 27 + -4y = -24 + 12y + -1[(-1 * 7 + y * 7) + -10y + 19] 27 + -4y = -24 + 12y + -1[(-7 + 7y) + -10y + 19] Reorder the terms: 27 + -4y = -24 + 12y + -1[-7 + 19 + 7y + -10y] Combine like terms: -7 + 19 = 12 27 + -4y = -24 + 12y + -1[12 + 7y + -10y] Combine like terms: 7y + -10y = -3y 27 + -4y = -24 + 12y + -1[12 + -3y] 27 + -4y = -24 + 12y + [12 * -1 + -3y * -1] 27 + -4y = -24 + 12y + [-12 + 3y] Reorder the terms: 27 + -4y = -24 + -12 + 12y + 3y Combine like terms: -24 + -12 = -36 27 + -4y = -36 + 12y + 3y Combine like terms: 12y + 3y = 15y 27 + -4y = -36 + 15y Solving 27 + -4y = -36 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 27 + -4y + -15y = -36 + 15y + -15y Combine like terms: -4y + -15y = -19y 27 + -19y = -36 + 15y + -15y Combine like terms: 15y + -15y = 0 27 + -19y = -36 + 0 27 + -19y = -36 Add '-27' to each side of the equation. 27 + -27 + -19y = -36 + -27 Combine like terms: 27 + -27 = 0 0 + -19y = -36 + -27 -19y = -36 + -27 Combine like terms: -36 + -27 = -63 -19y = -63 Divide each side by '-19'. y = 3.315789474 Simplifying y = 3.315789474
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