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Simplifying 7 + -2[3 + -2(y + 3)] = 6(y + 3) + -1 Reorder the terms: 7 + -2[3 + -2(3 + y)] = 6(y + 3) + -1 7 + -2[3 + (3 * -2 + y * -2)] = 6(y + 3) + -1 7 + -2[3 + (-6 + -2y)] = 6(y + 3) + -1 Combine like terms: 3 + -6 = -3 7 + -2[-3 + -2y] = 6(y + 3) + -1 7 + [-3 * -2 + -2y * -2] = 6(y + 3) + -1 7 + [6 + 4y] = 6(y + 3) + -1 Combine like terms: 7 + 6 = 13 13 + 4y = 6(y + 3) + -1 Reorder the terms: 13 + 4y = 6(3 + y) + -1 13 + 4y = (3 * 6 + y * 6) + -1 13 + 4y = (18 + 6y) + -1 Reorder the terms: 13 + 4y = 18 + -1 + 6y Combine like terms: 18 + -1 = 17 13 + 4y = 17 + 6y Solving 13 + 4y = 17 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 13 + 4y + -6y = 17 + 6y + -6y Combine like terms: 4y + -6y = -2y 13 + -2y = 17 + 6y + -6y Combine like terms: 6y + -6y = 0 13 + -2y = 17 + 0 13 + -2y = 17 Add '-13' to each side of the equation. 13 + -13 + -2y = 17 + -13 Combine like terms: 13 + -13 = 0 0 + -2y = 17 + -13 -2y = 17 + -13 Combine like terms: 17 + -13 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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