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Simplifying 3(y + 8) = y + -6 Reorder the terms: 3(8 + y) = y + -6 (8 * 3 + y * 3) = y + -6 (24 + 3y) = y + -6 Reorder the terms: 24 + 3y = -6 + y Solving 24 + 3y = -6 + y 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. 24 + 3y + -1y = -6 + y + -1y Combine like terms: 3y + -1y = 2y 24 + 2y = -6 + y + -1y Combine like terms: y + -1y = 0 24 + 2y = -6 + 0 24 + 2y = -6 Add '-24' to each side of the equation. 24 + -24 + 2y = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = -6 + -24 2y = -6 + -24 Combine like terms: -6 + -24 = -30 2y = -30 Divide each side by '2'. y = -15 Simplifying y = -15
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