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Simplifying -1(3y + 1) + -1(-2y + -3) = -5 Reorder the terms: -1(1 + 3y) + -1(-2y + -3) = -5 (1 * -1 + 3y * -1) + -1(-2y + -3) = -5 (-1 + -3y) + -1(-2y + -3) = -5 Reorder the terms: -1 + -3y + -1(-3 + -2y) = -5 -1 + -3y + (-3 * -1 + -2y * -1) = -5 -1 + -3y + (3 + 2y) = -5 Reorder the terms: -1 + 3 + -3y + 2y = -5 Combine like terms: -1 + 3 = 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 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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