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Simplifying -1(3y + 1) + -1(-2y + -7) = -2 Reorder the terms: -1(1 + 3y) + -1(-2y + -7) = -2 (1 * -1 + 3y * -1) + -1(-2y + -7) = -2 (-1 + -3y) + -1(-2y + -7) = -2 Reorder the terms: -1 + -3y + -1(-7 + -2y) = -2 -1 + -3y + (-7 * -1 + -2y * -1) = -2 -1 + -3y + (7 + 2y) = -2 Reorder the terms: -1 + 7 + -3y + 2y = -2 Combine like terms: -1 + 7 = 6 6 + -3y + 2y = -2 Combine like terms: -3y + 2y = -1y 6 + -1y = -2 Solving 6 + -1y = -2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = -2 + -6 -1y = -2 + -6 Combine like terms: -2 + -6 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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