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Simplifying 3(2y + 4) = 5(4x + 1) Reorder the terms: 3(4 + 2y) = 5(4x + 1) (4 * 3 + 2y * 3) = 5(4x + 1) (12 + 6y) = 5(4x + 1) Reorder the terms: 12 + 6y = 5(1 + 4x) 12 + 6y = (1 * 5 + 4x * 5) 12 + 6y = (5 + 20x) Solving 12 + 6y = 5 + 20x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6y = 5 + -12 + 20x Combine like terms: 12 + -12 = 0 0 + 6y = 5 + -12 + 20x 6y = 5 + -12 + 20x Combine like terms: 5 + -12 = -7 6y = -7 + 20x Divide each side by '6'. y = -1.166666667 + 3.333333333x Simplifying y = -1.166666667 + 3.333333333x
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