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Simplifying 36 + -1[3 + 4y + -2(y + 2)] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] Reorder the terms: 36 + -1[3 + 4y + -2(2 + y)] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] 36 + -1[3 + 4y + (2 * -2 + y * -2)] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] 36 + -1[3 + 4y + (-4 + -2y)] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] Reorder the terms: 36 + -1[3 + -4 + 4y + -2y] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] Combine like terms: 3 + -4 = -1 36 + -1[-1 + 4y + -2y] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] Combine like terms: 4y + -2y = 2y 36 + -1[-1 + 2y] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] 36 + [-1 * -1 + 2y * -1] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] 36 + [1 + -2y] = -3(5y + -6) + -1[6(y + -1) + -13y + 5] Combine like terms: 36 + 1 = 37 37 + -2y = -3(5y + -6) + -1[6(y + -1) + -13y + 5] Reorder the terms: 37 + -2y = -3(-6 + 5y) + -1[6(y + -1) + -13y + 5] 37 + -2y = (-6 * -3 + 5y * -3) + -1[6(y + -1) + -13y + 5] 37 + -2y = (18 + -15y) + -1[6(y + -1) + -13y + 5] Reorder the terms: 37 + -2y = 18 + -15y + -1[6(-1 + y) + -13y + 5] 37 + -2y = 18 + -15y + -1[(-1 * 6 + y * 6) + -13y + 5] 37 + -2y = 18 + -15y + -1[(-6 + 6y) + -13y + 5] Reorder the terms: 37 + -2y = 18 + -15y + -1[-6 + 5 + 6y + -13y] Combine like terms: -6 + 5 = -1 37 + -2y = 18 + -15y + -1[-1 + 6y + -13y] Combine like terms: 6y + -13y = -7y 37 + -2y = 18 + -15y + -1[-1 + -7y] 37 + -2y = 18 + -15y + [-1 * -1 + -7y * -1] 37 + -2y = 18 + -15y + [1 + 7y] Reorder the terms: 37 + -2y = 18 + 1 + -15y + 7y Combine like terms: 18 + 1 = 19 37 + -2y = 19 + -15y + 7y Combine like terms: -15y + 7y = -8y 37 + -2y = 19 + -8y Solving 37 + -2y = 19 + -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. 37 + -2y + 8y = 19 + -8y + 8y Combine like terms: -2y + 8y = 6y 37 + 6y = 19 + -8y + 8y Combine like terms: -8y + 8y = 0 37 + 6y = 19 + 0 37 + 6y = 19 Add '-37' to each side of the equation. 37 + -37 + 6y = 19 + -37 Combine like terms: 37 + -37 = 0 0 + 6y = 19 + -37 6y = 19 + -37 Combine like terms: 19 + -37 = -18 6y = -18 Divide each side by '6'. y = -3 Simplifying y = -3
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