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Simplifying 2(y + 8) = 30 + -5y Reorder the terms: 2(8 + y) = 30 + -5y (8 * 2 + y * 2) = 30 + -5y (16 + 2y) = 30 + -5y Solving 16 + 2y = 30 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 16 + 2y + 5y = 30 + -5y + 5y Combine like terms: 2y + 5y = 7y 16 + 7y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 16 + 7y = 30 + 0 16 + 7y = 30 Add '-16' to each side of the equation. 16 + -16 + 7y = 30 + -16 Combine like terms: 16 + -16 = 0 0 + 7y = 30 + -16 7y = 30 + -16 Combine like terms: 30 + -16 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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