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Simplifying -1(3y + 1) + -1(-2y + -3) = -6 Reorder the terms: -1(1 + 3y) + -1(-2y + -3) = -6 (1 * -1 + 3y * -1) + -1(-2y + -3) = -6 (-1 + -3y) + -1(-2y + -3) = -6 Reorder the terms: -1 + -3y + -1(-3 + -2y) = -6 -1 + -3y + (-3 * -1 + -2y * -1) = -6 -1 + -3y + (3 + 2y) = -6 Reorder the terms: -1 + 3 + -3y + 2y = -6 Combine like terms: -1 + 3 = 2 2 + -3y + 2y = -6 Combine like terms: -3y + 2y = -1y 2 + -1y = -6 Solving 2 + -1y = -6 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 = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = -6 + -2 -1y = -6 + -2 Combine like terms: -6 + -2 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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