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Simplifying 8 + -1(4y + -2) = 6 + -5y Reorder the terms: 8 + -1(-2 + 4y) = 6 + -5y 8 + (-2 * -1 + 4y * -1) = 6 + -5y 8 + (2 + -4y) = 6 + -5y Combine like terms: 8 + 2 = 10 10 + -4y = 6 + -5y Solving 10 + -4y = 6 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 10 + -4y + 5y = 6 + -5y + 5y Combine like terms: -4y + 5y = 1y 10 + 1y = 6 + -5y + 5y Combine like terms: -5y + 5y = 0 10 + 1y = 6 + 0 10 + 1y = 6 Add '-10' to each side of the equation. 10 + -10 + 1y = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 6 + -10 1y = 6 + -10 Combine like terms: 6 + -10 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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