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