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Simplifying -2(y + 8) = 3y + -41 Reorder the terms: -2(8 + y) = 3y + -41 (8 * -2 + y * -2) = 3y + -41 (-16 + -2y) = 3y + -41 Reorder the terms: -16 + -2y = -41 + 3y Solving -16 + -2y = -41 + 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. -16 + -2y + -3y = -41 + 3y + -3y Combine like terms: -2y + -3y = -5y -16 + -5y = -41 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + -5y = -41 + 0 -16 + -5y = -41 Add '16' to each side of the equation. -16 + 16 + -5y = -41 + 16 Combine like terms: -16 + 16 = 0 0 + -5y = -41 + 16 -5y = -41 + 16 Combine like terms: -41 + 16 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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