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Simplifying 9(2 + -1(2y + -4)) = 2(9 + -3y) Reorder the terms: 9(2 + -1(-4 + 2y)) = 2(9 + -3y) 9(2 + (-4 * -1 + 2y * -1)) = 2(9 + -3y) 9(2 + (4 + -2y)) = 2(9 + -3y) Combine like terms: 2 + 4 = 6 9(6 + -2y) = 2(9 + -3y) (6 * 9 + -2y * 9) = 2(9 + -3y) (54 + -18y) = 2(9 + -3y) 54 + -18y = (9 * 2 + -3y * 2) 54 + -18y = (18 + -6y) Solving 54 + -18y = 18 + -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. 54 + -18y + 6y = 18 + -6y + 6y Combine like terms: -18y + 6y = -12y 54 + -12y = 18 + -6y + 6y Combine like terms: -6y + 6y = 0 54 + -12y = 18 + 0 54 + -12y = 18 Add '-54' to each side of the equation. 54 + -54 + -12y = 18 + -54 Combine like terms: 54 + -54 = 0 0 + -12y = 18 + -54 -12y = 18 + -54 Combine like terms: 18 + -54 = -36 -12y = -36 Divide each side by '-12'. y = 3 Simplifying y = 3
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