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Simplifying -1(5y + 3) + -1(-4y + -7) = -2 Reorder the terms: -1(3 + 5y) + -1(-4y + -7) = -2 (3 * -1 + 5y * -1) + -1(-4y + -7) = -2 (-3 + -5y) + -1(-4y + -7) = -2 Reorder the terms: -3 + -5y + -1(-7 + -4y) = -2 -3 + -5y + (-7 * -1 + -4y * -1) = -2 -3 + -5y + (7 + 4y) = -2 Reorder the terms: -3 + 7 + -5y + 4y = -2 Combine like terms: -3 + 7 = 4 4 + -5y + 4y = -2 Combine like terms: -5y + 4y = -1y 4 + -1y = -2 Solving 4 + -1y = -2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = -2 + -4 -1y = -2 + -4 Combine like terms: -2 + -4 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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