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Simplifying 4(2y + 1) = 6y + 2 Reorder the terms: 4(1 + 2y) = 6y + 2 (1 * 4 + 2y * 4) = 6y + 2 (4 + 8y) = 6y + 2 Reorder the terms: 4 + 8y = 2 + 6y Solving 4 + 8y = 2 + 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. 4 + 8y + -6y = 2 + 6y + -6y Combine like terms: 8y + -6y = 2y 4 + 2y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + 2y = 2 + 0 4 + 2y = 2 Add '-4' to each side of the equation. 4 + -4 + 2y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = 2 + -4 2y = 2 + -4 Combine like terms: 2 + -4 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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