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Simplifying 4(2y + 1) = 2(x + 6) Reorder the terms: 4(1 + 2y) = 2(x + 6) (1 * 4 + 2y * 4) = 2(x + 6) (4 + 8y) = 2(x + 6) Reorder the terms: 4 + 8y = 2(6 + x) 4 + 8y = (6 * 2 + x * 2) 4 + 8y = (12 + 2x) Solving 4 + 8y = 12 + 2x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8y = 12 + -4 + 2x Combine like terms: 4 + -4 = 0 0 + 8y = 12 + -4 + 2x 8y = 12 + -4 + 2x Combine like terms: 12 + -4 = 8 8y = 8 + 2x Divide each side by '8'. y = 1 + 0.25x Simplifying y = 1 + 0.25x
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