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Simplifying 12 + -1(2 + -4y) = 6 + y + -1(3 + -2y) 12 + (2 * -1 + -4y * -1) = 6 + y + -1(3 + -2y) 12 + (-2 + 4y) = 6 + y + -1(3 + -2y) Combine like terms: 12 + -2 = 10 10 + 4y = 6 + y + -1(3 + -2y) 10 + 4y = 6 + y + (3 * -1 + -2y * -1) 10 + 4y = 6 + y + (-3 + 2y) Reorder the terms: 10 + 4y = 6 + -3 + y + 2y Combine like terms: 6 + -3 = 3 10 + 4y = 3 + y + 2y Combine like terms: y + 2y = 3y 10 + 4y = 3 + 3y Solving 10 + 4y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 10 + 4y + -3y = 3 + 3y + -3y Combine like terms: 4y + -3y = 1y 10 + 1y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 1y = 3 + 0 10 + 1y = 3 Add '-10' to each side of the equation. 10 + -10 + 1y = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 3 + -10 1y = 3 + -10 Combine like terms: 3 + -10 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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