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