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Simplifying -1(4y + 2) + -1(-3y + -5) = 2 Reorder the terms: -1(2 + 4y) + -1(-3y + -5) = 2 (2 * -1 + 4y * -1) + -1(-3y + -5) = 2 (-2 + -4y) + -1(-3y + -5) = 2 Reorder the terms: -2 + -4y + -1(-5 + -3y) = 2 -2 + -4y + (-5 * -1 + -3y * -1) = 2 -2 + -4y + (5 + 3y) = 2 Reorder the terms: -2 + 5 + -4y + 3y = 2 Combine like terms: -2 + 5 = 3 3 + -4y + 3y = 2 Combine like terms: -4y + 3y = -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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