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Simplifying -3(2y + -4) = 2(1 + -4y) + 11 Reorder the terms: -3(-4 + 2y) = 2(1 + -4y) + 11 (-4 * -3 + 2y * -3) = 2(1 + -4y) + 11 (12 + -6y) = 2(1 + -4y) + 11 12 + -6y = (1 * 2 + -4y * 2) + 11 12 + -6y = (2 + -8y) + 11 Reorder the terms: 12 + -6y = 2 + 11 + -8y Combine like terms: 2 + 11 = 13 12 + -6y = 13 + -8y Solving 12 + -6y = 13 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 12 + -6y + 8y = 13 + -8y + 8y Combine like terms: -6y + 8y = 2y 12 + 2y = 13 + -8y + 8y Combine like terms: -8y + 8y = 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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