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Simplifying y + -5x = 4(x + 5) + 9 Reorder the terms: -5x + y = 4(x + 5) + 9 Reorder the terms: -5x + y = 4(5 + x) + 9 -5x + y = (5 * 4 + x * 4) + 9 -5x + y = (20 + 4x) + 9 Reorder the terms: -5x + y = 20 + 9 + 4x Combine like terms: 20 + 9 = 29 -5x + y = 29 + 4x Solving -5x + y = 29 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5x + -4x + y = 29 + 4x + -4x Combine like terms: -5x + -4x = -9x -9x + y = 29 + 4x + -4x Combine like terms: 4x + -4x = 0 -9x + y = 29 + 0 -9x + y = 29 Add '-1y' to each side of the equation. -9x + y + -1y = 29 + -1y Combine like terms: y + -1y = 0 -9x + 0 = 29 + -1y -9x = 29 + -1y Divide each side by '-9'. x = -3.222222222 + 0.1111111111y Simplifying x = -3.222222222 + 0.1111111111y
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