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Simplifying 10 + -1(3y + -9) = 2 + -4y Reorder the terms: 10 + -1(-9 + 3y) = 2 + -4y 10 + (-9 * -1 + 3y * -1) = 2 + -4y 10 + (9 + -3y) = 2 + -4y Combine like terms: 10 + 9 = 19 19 + -3y = 2 + -4y Solving 19 + -3y = 2 + -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. 19 + -3y + 4y = 2 + -4y + 4y Combine like terms: -3y + 4y = 1y 19 + 1y = 2 + -4y + 4y Combine like terms: -4y + 4y = 0 19 + 1y = 2 + 0 19 + 1y = 2 Add '-19' to each side of the equation. 19 + -19 + 1y = 2 + -19 Combine like terms: 19 + -19 = 0 0 + 1y = 2 + -19 1y = 2 + -19 Combine like terms: 2 + -19 = -17 1y = -17 Divide each side by '1'. y = -17 Simplifying y = -17
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