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Simplifying -3(6y + -4) = 4(1 + -5y) + 9 Reorder the terms: -3(-4 + 6y) = 4(1 + -5y) + 9 (-4 * -3 + 6y * -3) = 4(1 + -5y) + 9 (12 + -18y) = 4(1 + -5y) + 9 12 + -18y = (1 * 4 + -5y * 4) + 9 12 + -18y = (4 + -20y) + 9 Reorder the terms: 12 + -18y = 4 + 9 + -20y Combine like terms: 4 + 9 = 13 12 + -18y = 13 + -20y Solving 12 + -18y = 13 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 12 + -18y + 20y = 13 + -20y + 20y Combine like terms: -18y + 20y = 2y 12 + 2y = 13 + -20y + 20y Combine like terms: -20y + 20y = 0 12 + 2y = 13 + 0 12 + 2y = 13 Add '-12' to each side of the equation. 12 + -12 + 2y = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 13 + -12 2y = 13 + -12 Combine like terms: 13 + -12 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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