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Simplifying y(4x + 5) = 2x + 13 Reorder the terms: y(5 + 4x) = 2x + 13 (5 * y + 4x * y) = 2x + 13 Reorder the terms: (4xy + 5y) = 2x + 13 (4xy + 5y) = 2x + 13 Reorder the terms: 4xy + 5y = 13 + 2x Solving 4xy + 5y = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4xy + -2x + 5y = 13 + 2x + -2x Reorder the terms: -2x + 4xy + 5y = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2x + 4xy + 5y = 13 + 0 -2x + 4xy + 5y = 13 Add '-5y' to each side of the equation. -2x + 4xy + 5y + -5y = 13 + -5y Combine like terms: 5y + -5y = 0 -2x + 4xy + 0 = 13 + -5y -2x + 4xy = 13 + -5y Reorder the terms: -13 + -2x + 4xy + 5y = 13 + -5y + -13 + 5y Reorder the terms: -13 + -2x + 4xy + 5y = 13 + -13 + -5y + 5y Combine like terms: 13 + -13 = 0 -13 + -2x + 4xy + 5y = 0 + -5y + 5y -13 + -2x + 4xy + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -13 + -2x + 4xy + 5y = 0 The solution to this equation could not be determined.
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