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