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Simplifying 8y + 2 = 2(3y + 4) Reorder the terms: 2 + 8y = 2(3y + 4) Reorder the terms: 2 + 8y = 2(4 + 3y) 2 + 8y = (4 * 2 + 3y * 2) 2 + 8y = (8 + 6y) Solving 2 + 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. 2 + 8y + -6y = 8 + 6y + -6y Combine like terms: 8y + -6y = 2y 2 + 2y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + 2y = 8 + 0 2 + 2y = 8 Add '-2' to each side of the equation. 2 + -2 + 2y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 8 + -2 2y = 8 + -2 Combine like terms: 8 + -2 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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