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Simplifying 6y + 8 = 2(2y + 3) Reorder the terms: 8 + 6y = 2(2y + 3) Reorder the terms: 8 + 6y = 2(3 + 2y) 8 + 6y = (3 * 2 + 2y * 2) 8 + 6y = (6 + 4y) Solving 8 + 6y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + 6y + -4y = 6 + 4y + -4y Combine like terms: 6y + -4y = 2y 8 + 2y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 2y = 6 + 0 8 + 2y = 6 Add '-8' to each side of the equation. 8 + -8 + 2y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 6 + -8 2y = 6 + -8 Combine like terms: 6 + -8 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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