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Simplifying 7[2 + -4(y + -1)] = 7(2y + 9) Reorder the terms: 7[2 + -4(-1 + y)] = 7(2y + 9) 7[2 + (-1 * -4 + y * -4)] = 7(2y + 9) 7[2 + (4 + -4y)] = 7(2y + 9) Combine like terms: 2 + 4 = 6 7[6 + -4y] = 7(2y + 9) [6 * 7 + -4y * 7] = 7(2y + 9) [42 + -28y] = 7(2y + 9) Reorder the terms: 42 + -28y = 7(9 + 2y) 42 + -28y = (9 * 7 + 2y * 7) 42 + -28y = (63 + 14y) Solving 42 + -28y = 63 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 42 + -28y + -14y = 63 + 14y + -14y Combine like terms: -28y + -14y = -42y 42 + -42y = 63 + 14y + -14y Combine like terms: 14y + -14y = 0 42 + -42y = 63 + 0 42 + -42y = 63 Add '-42' to each side of the equation. 42 + -42 + -42y = 63 + -42 Combine like terms: 42 + -42 = 0 0 + -42y = 63 + -42 -42y = 63 + -42 Combine like terms: 63 + -42 = 21 -42y = 21 Divide each side by '-42'. y = -0.5 Simplifying y = -0.5
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