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Simplifying 2(6 + -2y) = 4y + -8 + 2x (6 * 2 + -2y * 2) = 4y + -8 + 2x (12 + -4y) = 4y + -8 + 2x Reorder the terms: 12 + -4y = -8 + 2x + 4y Solving 12 + -4y = -8 + 2x + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + -4y + -4y = -8 + 2x + 4y + -4y Combine like terms: -4y + -4y = -8y 12 + -8y = -8 + 2x + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -8y = -8 + 2x + 0 12 + -8y = -8 + 2x Add '-12' to each side of the equation. 12 + -12 + -8y = -8 + -12 + 2x Combine like terms: 12 + -12 = 0 0 + -8y = -8 + -12 + 2x -8y = -8 + -12 + 2x Combine like terms: -8 + -12 = -20 -8y = -20 + 2x Divide each side by '-8'. y = 2.5 + -0.25x Simplifying y = 2.5 + -0.25x
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