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Simplifying (4x + -5y) + -1(12x + y) = y Remove parenthesis around (4x + -5y) 4x + -5y + -1(12x + y) = y 4x + -5y + (12x * -1 + y * -1) = y 4x + -5y + (-12x + -1y) = y Reorder the terms: 4x + -12x + -5y + -1y = y Combine like terms: 4x + -12x = -8x -8x + -5y + -1y = y Combine like terms: -5y + -1y = -6y -8x + -6y = y Solving -8x + -6y = y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -8x + -6y + 6y = y + 6y Combine like terms: -6y + 6y = 0 -8x + 0 = y + 6y -8x = y + 6y Combine like terms: y + 6y = 7y -8x = 7y Divide each side by '-8'. x = -0.875y Simplifying x = -0.875y
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