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Simplifying -1(3y + 1) + -1(-2y + 7) = 5 Reorder the terms: -1(1 + 3y) + -1(-2y + 7) = 5 (1 * -1 + 3y * -1) + -1(-2y + 7) = 5 (-1 + -3y) + -1(-2y + 7) = 5 Reorder the terms: -1 + -3y + -1(7 + -2y) = 5 -1 + -3y + (7 * -1 + -2y * -1) = 5 -1 + -3y + (-7 + 2y) = 5 Reorder the terms: -1 + -7 + -3y + 2y = 5 Combine like terms: -1 + -7 = -8 -8 + -3y + 2y = 5 Combine like terms: -3y + 2y = -1y -8 + -1y = 5 Solving -8 + -1y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 5 + 8 -1y = 5 + 8 Combine like terms: 5 + 8 = 13 -1y = 13 Divide each side by '-1'. y = -13 Simplifying y = -13
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