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Simplifying -4(-4x + -1y) + -3(-5y + 6x) = 0 (-4x * -4 + -1y * -4) + -3(-5y + 6x) = 0 (16x + 4y) + -3(-5y + 6x) = 0 Reorder the terms: 16x + 4y + -3(6x + -5y) = 0 16x + 4y + (6x * -3 + -5y * -3) = 0 16x + 4y + (-18x + 15y) = 0 Reorder the terms: 16x + -18x + 4y + 15y = 0 Combine like terms: 16x + -18x = -2x -2x + 4y + 15y = 0 Combine like terms: 4y + 15y = 19y -2x + 19y = 0 Solving -2x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. -2x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 -2x + 0 = 0 + -19y -2x = 0 + -19y Remove the zero: -2x = -19y Divide each side by '-2'. x = 9.5y Simplifying x = 9.5y
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