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Simplifying 55 + -1[5 + 4y + -1(y + 3)] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] Reorder the terms: 55 + -1[5 + 4y + -1(3 + y)] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] 55 + -1[5 + 4y + (3 * -1 + y * -1)] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] 55 + -1[5 + 4y + (-3 + -1y)] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] Reorder the terms: 55 + -1[5 + -3 + 4y + -1y] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] Combine like terms: 5 + -3 = 2 55 + -1[2 + 4y + -1y] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] Combine like terms: 4y + -1y = 3y 55 + -1[2 + 3y] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] 55 + [2 * -1 + 3y * -1] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] 55 + [-2 + -3y] = -4(5y + -3) + -1[6(y + -1) + -16y + 2] Combine like terms: 55 + -2 = 53 53 + -3y = -4(5y + -3) + -1[6(y + -1) + -16y + 2] Reorder the terms: 53 + -3y = -4(-3 + 5y) + -1[6(y + -1) + -16y + 2] 53 + -3y = (-3 * -4 + 5y * -4) + -1[6(y + -1) + -16y + 2] 53 + -3y = (12 + -20y) + -1[6(y + -1) + -16y + 2] Reorder the terms: 53 + -3y = 12 + -20y + -1[6(-1 + y) + -16y + 2] 53 + -3y = 12 + -20y + -1[(-1 * 6 + y * 6) + -16y + 2] 53 + -3y = 12 + -20y + -1[(-6 + 6y) + -16y + 2] Reorder the terms: 53 + -3y = 12 + -20y + -1[-6 + 2 + 6y + -16y] Combine like terms: -6 + 2 = -4 53 + -3y = 12 + -20y + -1[-4 + 6y + -16y] Combine like terms: 6y + -16y = -10y 53 + -3y = 12 + -20y + -1[-4 + -10y] 53 + -3y = 12 + -20y + [-4 * -1 + -10y * -1] 53 + -3y = 12 + -20y + [4 + 10y] Reorder the terms: 53 + -3y = 12 + 4 + -20y + 10y Combine like terms: 12 + 4 = 16 53 + -3y = 16 + -20y + 10y Combine like terms: -20y + 10y = -10y 53 + -3y = 16 + -10y Solving 53 + -3y = 16 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 53 + -3y + 10y = 16 + -10y + 10y Combine like terms: -3y + 10y = 7y 53 + 7y = 16 + -10y + 10y Combine like terms: -10y + 10y = 0 53 + 7y = 16 + 0 53 + 7y = 16 Add '-53' to each side of the equation. 53 + -53 + 7y = 16 + -53 Combine like terms: 53 + -53 = 0 0 + 7y = 16 + -53 7y = 16 + -53 Combine like terms: 16 + -53 = -37 7y = -37 Divide each side by '7'. y = -5.285714286 Simplifying y = -5.285714286
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