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Simplifying 8(y + 4) = 2(3y + 4) Reorder the terms: 8(4 + y) = 2(3y + 4) (4 * 8 + y * 8) = 2(3y + 4) (32 + 8y) = 2(3y + 4) Reorder the terms: 32 + 8y = 2(4 + 3y) 32 + 8y = (4 * 2 + 3y * 2) 32 + 8y = (8 + 6y) Solving 32 + 8y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 32 + 8y + -6y = 8 + 6y + -6y Combine like terms: 8y + -6y = 2y 32 + 2y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 32 + 2y = 8 + 0 32 + 2y = 8 Add '-32' to each side of the equation. 32 + -32 + 2y = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 8 + -32 2y = 8 + -32 Combine like terms: 8 + -32 = -24 2y = -24 Divide each side by '2'. y = -12 Simplifying y = -12

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