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Simplifying 10 + -1(2y + -2) = 8 + -3y Reorder the terms: 10 + -1(-2 + 2y) = 8 + -3y 10 + (-2 * -1 + 2y * -1) = 8 + -3y 10 + (2 + -2y) = 8 + -3y Combine like terms: 10 + 2 = 12 12 + -2y = 8 + -3y Solving 12 + -2y = 8 + -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. 12 + -2y + 3y = 8 + -3y + 3y Combine like terms: -2y + 3y = 1y 12 + 1y = 8 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 1y = 8 + 0 12 + 1y = 8 Add '-12' to each side of the equation. 12 + -12 + 1y = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 8 + -12 1y = 8 + -12 Combine like terms: 8 + -12 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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