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