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Simplifying 10y + 8(y + -1x) + -1x = 0 Reorder the terms: 10y + 8(-1x + y) + -1x = 0 10y + (-1x * 8 + y * 8) + -1x = 0 10y + (-8x + 8y) + -1x = 0 Reorder the terms: -8x + -1x + 10y + 8y = 0 Combine like terms: -8x + -1x = -9x -9x + 10y + 8y = 0 Combine like terms: 10y + 8y = 18y -9x + 18y = 0 Solving -9x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18y' to each side of the equation. -9x + 18y + -18y = 0 + -18y Combine like terms: 18y + -18y = 0 -9x + 0 = 0 + -18y -9x = 0 + -18y Remove the zero: -9x = -18y Divide each side by '-9'. x = 2y Simplifying x = 2y
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