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