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Simplifying -1(5y + 1) + -1(-4y + -8) = 5 Reorder the terms: -1(1 + 5y) + -1(-4y + -8) = 5 (1 * -1 + 5y * -1) + -1(-4y + -8) = 5 (-1 + -5y) + -1(-4y + -8) = 5 Reorder the terms: -1 + -5y + -1(-8 + -4y) = 5 -1 + -5y + (-8 * -1 + -4y * -1) = 5 -1 + -5y + (8 + 4y) = 5 Reorder the terms: -1 + 8 + -5y + 4y = 5 Combine like terms: -1 + 8 = 7 7 + -5y + 4y = 5 Combine like terms: -5y + 4y = -1y 7 + -1y = 5 Solving 7 + -1y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 5 + -7 -1y = 5 + -7 Combine like terms: 5 + -7 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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