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Simplifying 4(2y + 1) = 2(x + y) Reorder the terms: 4(1 + 2y) = 2(x + y) (1 * 4 + 2y * 4) = 2(x + y) (4 + 8y) = 2(x + y) 4 + 8y = (x * 2 + y * 2) 4 + 8y = (2x + 2y) Solving 4 + 8y = 2x + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4 + 8y + -2y = 2x + 2y + -2y Combine like terms: 8y + -2y = 6y 4 + 6y = 2x + 2y + -2y Combine like terms: 2y + -2y = 0 4 + 6y = 2x + 0 4 + 6y = 2x Add '-4' to each side of the equation. 4 + -4 + 6y = -4 + 2x Combine like terms: 4 + -4 = 0 0 + 6y = -4 + 2x 6y = -4 + 2x Divide each side by '6'. y = -0.6666666667 + 0.3333333333x Simplifying y = -0.6666666667 + 0.3333333333x
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