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Simplifying 2y + 4(2y + -4x + 2) = 8y + -16 Reorder the terms: 2y + 4(2 + -4x + 2y) = 8y + -16 2y + (2 * 4 + -4x * 4 + 2y * 4) = 8y + -16 2y + (8 + -16x + 8y) = 8y + -16 Reorder the terms: 8 + -16x + 2y + 8y = 8y + -16 Combine like terms: 2y + 8y = 10y 8 + -16x + 10y = 8y + -16 Reorder the terms: 8 + -16x + 10y = -16 + 8y Solving 8 + -16x + 10y = -16 + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -16x + -8 + 10y = -16 + -8 + 8y Reorder the terms: 8 + -8 + -16x + 10y = -16 + -8 + 8y Combine like terms: 8 + -8 = 0 0 + -16x + 10y = -16 + -8 + 8y -16x + 10y = -16 + -8 + 8y Combine like terms: -16 + -8 = -24 -16x + 10y = -24 + 8y Add '-10y' to each side of the equation. -16x + 10y + -10y = -24 + 8y + -10y Combine like terms: 10y + -10y = 0 -16x + 0 = -24 + 8y + -10y -16x = -24 + 8y + -10y Combine like terms: 8y + -10y = -2y -16x = -24 + -2y Divide each side by '-16'. x = 1.5 + 0.125y Simplifying x = 1.5 + 0.125y
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