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Simplifying 3(2y + 1) = 8(4x + -1) Reorder the terms: 3(1 + 2y) = 8(4x + -1) (1 * 3 + 2y * 3) = 8(4x + -1) (3 + 6y) = 8(4x + -1) Reorder the terms: 3 + 6y = 8(-1 + 4x) 3 + 6y = (-1 * 8 + 4x * 8) 3 + 6y = (-8 + 32x) Solving 3 + 6y = -8 + 32x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6y = -8 + -3 + 32x Combine like terms: 3 + -3 = 0 0 + 6y = -8 + -3 + 32x 6y = -8 + -3 + 32x Combine like terms: -8 + -3 = -11 6y = -11 + 32x Divide each side by '6'. y = -1.833333333 + 5.333333333x Simplifying y = -1.833333333 + 5.333333333x
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