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Simplifying 2(3y + 4) = 8(2 + y) Reorder the terms: 2(4 + 3y) = 8(2 + y) (4 * 2 + 3y * 2) = 8(2 + y) (8 + 6y) = 8(2 + y) 8 + 6y = (2 * 8 + y * 8) 8 + 6y = (16 + 8y) Solving 8 + 6y = 16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 8 + 6y + -8y = 16 + 8y + -8y Combine like terms: 6y + -8y = -2y 8 + -2y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 8 + -2y = 16 + 0 8 + -2y = 16 Add '-8' to each side of the equation. 8 + -8 + -2y = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = 16 + -8 -2y = 16 + -8 Combine like terms: 16 + -8 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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