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Simplifying 15y + -1[3 + -1(4y + 4) + -57] = 2 + -1y Reorder the terms: 15y + -1[3 + -1(4 + 4y) + -57] = 2 + -1y 15y + -1[3 + (4 * -1 + 4y * -1) + -57] = 2 + -1y 15y + -1[3 + (-4 + -4y) + -57] = 2 + -1y Reorder the terms: 15y + -1[3 + -4 + -57 + -4y] = 2 + -1y Combine like terms: 3 + -4 = -1 15y + -1[-1 + -57 + -4y] = 2 + -1y Combine like terms: -1 + -57 = -58 15y + -1[-58 + -4y] = 2 + -1y 15y + [-58 * -1 + -4y * -1] = 2 + -1y 15y + [58 + 4y] = 2 + -1y Reorder the terms: 58 + 15y + 4y = 2 + -1y Combine like terms: 15y + 4y = 19y 58 + 19y = 2 + -1y Solving 58 + 19y = 2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 58 + 19y + y = 2 + -1y + y Combine like terms: 19y + y = 20y 58 + 20y = 2 + -1y + y Combine like terms: -1y + y = 0 58 + 20y = 2 + 0 58 + 20y = 2 Add '-58' to each side of the equation. 58 + -58 + 20y = 2 + -58 Combine like terms: 58 + -58 = 0 0 + 20y = 2 + -58 20y = 2 + -58 Combine like terms: 2 + -58 = -56 20y = -56 Divide each side by '20'. y = -2.8 Simplifying y = -2.8
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