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Simplifying -1(5y + 2) + -1(-4y + -4) = -6 Reorder the terms: -1(2 + 5y) + -1(-4y + -4) = -6 (2 * -1 + 5y * -1) + -1(-4y + -4) = -6 (-2 + -5y) + -1(-4y + -4) = -6 Reorder the terms: -2 + -5y + -1(-4 + -4y) = -6 -2 + -5y + (-4 * -1 + -4y * -1) = -6 -2 + -5y + (4 + 4y) = -6 Reorder the terms: -2 + 4 + -5y + 4y = -6 Combine like terms: -2 + 4 = 2 2 + -5y + 4y = -6 Combine like terms: -5y + 4y = -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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