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Simplifying 5(2y + -1) + -2(4y + -3) = x Reorder the terms: 5(-1 + 2y) + -2(4y + -3) = x (-1 * 5 + 2y * 5) + -2(4y + -3) = x (-5 + 10y) + -2(4y + -3) = x Reorder the terms: -5 + 10y + -2(-3 + 4y) = x -5 + 10y + (-3 * -2 + 4y * -2) = x -5 + 10y + (6 + -8y) = x Reorder the terms: -5 + 6 + 10y + -8y = x Combine like terms: -5 + 6 = 1 1 + 10y + -8y = x Combine like terms: 10y + -8y = 2y 1 + 2y = x Solving 1 + 2y = x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = -1 + x Combine like terms: 1 + -1 = 0 0 + 2y = -1 + x 2y = -1 + x Divide each side by '2'. y = -0.5 + 0.5x Simplifying y = -0.5 + 0.5x
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