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Simplifying 8[3 + 2(2y + 3)] = -2[16 + -1(y + 7)] Reorder the terms: 8[3 + 2(3 + 2y)] = -2[16 + -1(y + 7)] 8[3 + (3 * 2 + 2y * 2)] = -2[16 + -1(y + 7)] 8[3 + (6 + 4y)] = -2[16 + -1(y + 7)] Combine like terms: 3 + 6 = 9 8[9 + 4y] = -2[16 + -1(y + 7)] [9 * 8 + 4y * 8] = -2[16 + -1(y + 7)] [72 + 32y] = -2[16 + -1(y + 7)] Reorder the terms: 72 + 32y = -2[16 + -1(7 + y)] 72 + 32y = -2[16 + (7 * -1 + y * -1)] 72 + 32y = -2[16 + (-7 + -1y)] Combine like terms: 16 + -7 = 9 72 + 32y = -2[9 + -1y] 72 + 32y = [9 * -2 + -1y * -2] 72 + 32y = [-18 + 2y] Solving 72 + 32y = -18 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 72 + 32y + -2y = -18 + 2y + -2y Combine like terms: 32y + -2y = 30y 72 + 30y = -18 + 2y + -2y Combine like terms: 2y + -2y = 0 72 + 30y = -18 + 0 72 + 30y = -18 Add '-72' to each side of the equation. 72 + -72 + 30y = -18 + -72 Combine like terms: 72 + -72 = 0 0 + 30y = -18 + -72 30y = -18 + -72 Combine like terms: -18 + -72 = -90 30y = -90 Divide each side by '30'. y = -3 Simplifying y = -3
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