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Simplifying 8 + -1(3y + -2) = 8 + -4y Reorder the terms: 8 + -1(-2 + 3y) = 8 + -4y 8 + (-2 * -1 + 3y * -1) = 8 + -4y 8 + (2 + -3y) = 8 + -4y Combine like terms: 8 + 2 = 10 10 + -3y = 8 + -4y Solving 10 + -3y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 10 + -3y + 4y = 8 + -4y + 4y Combine like terms: -3y + 4y = 1y 10 + 1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + 1y = 8 + 0 10 + 1y = 8 Add '-10' to each side of the equation. 10 + -10 + 1y = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 8 + -10 1y = 8 + -10 Combine like terms: 8 + -10 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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