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Simplifying -1(4y + 1) + -1(-3y + -5) = 2 Reorder the terms: -1(1 + 4y) + -1(-3y + -5) = 2 (1 * -1 + 4y * -1) + -1(-3y + -5) = 2 (-1 + -4y) + -1(-3y + -5) = 2 Reorder the terms: -1 + -4y + -1(-5 + -3y) = 2 -1 + -4y + (-5 * -1 + -3y * -1) = 2 -1 + -4y + (5 + 3y) = 2 Reorder the terms: -1 + 5 + -4y + 3y = 2 Combine like terms: -1 + 5 = 4 4 + -4y + 3y = 2 Combine like terms: -4y + 3y = -1y 4 + -1y = 2 Solving 4 + -1y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 2 + -4 -1y = 2 + -4 Combine like terms: 2 + -4 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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