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Simplifying 8 + -1(2y + -2) = 3 + -3y Reorder the terms: 8 + -1(-2 + 2y) = 3 + -3y 8 + (-2 * -1 + 2y * -1) = 3 + -3y 8 + (2 + -2y) = 3 + -3y Combine like terms: 8 + 2 = 10 10 + -2y = 3 + -3y Solving 10 + -2y = 3 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 10 + -2y + 3y = 3 + -3y + 3y Combine like terms: -2y + 3y = 1y 10 + 1y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 10 + 1y = 3 + 0 10 + 1y = 3 Add '-10' to each side of the equation. 10 + -10 + 1y = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 3 + -10 1y = 3 + -10 Combine like terms: 3 + -10 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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