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Simplifying 3y + 2 = 5 + -1(8 + -1y) Reorder the terms: 2 + 3y = 5 + -1(8 + -1y) 2 + 3y = 5 + (8 * -1 + -1y * -1) 2 + 3y = 5 + (-8 + 1y) Combine like terms: 5 + -8 = -3 2 + 3y = -3 + 1y Solving 2 + 3y = -3 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 2 + 3y + -1y = -3 + 1y + -1y Combine like terms: 3y + -1y = 2y 2 + 2y = -3 + 1y + -1y Combine like terms: 1y + -1y = 0 2 + 2y = -3 + 0 2 + 2y = -3 Add '-2' to each side of the equation. 2 + -2 + 2y = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = -3 + -2 2y = -3 + -2 Combine like terms: -3 + -2 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5
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