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