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Simplifying (2y + -42 + 7)(5y + -1w) = 0 Reorder the terms: (-42 + 7 + 2y)(5y + -1w) = 0 Combine like terms: -42 + 7 = -35 (-35 + 2y)(5y + -1w) = 0 Reorder the terms: (-35 + 2y)(-1w + 5y) = 0 Multiply (-35 + 2y) * (-1w + 5y) (-35(-1w + 5y) + 2y * (-1w + 5y)) = 0 ((-1w * -35 + 5y * -35) + 2y * (-1w + 5y)) = 0 ((35w + -175y) + 2y * (-1w + 5y)) = 0 (35w + -175y + (-1w * 2y + 5y * 2y)) = 0 (35w + -175y + (-2wy + 10y2)) = 0 Reorder the terms: (35w + -2wy + -175y + 10y2) = 0 (35w + -2wy + -175y + 10y2) = 0 Solving 35w + -2wy + -175y + 10y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '175y' to each side of the equation. 35w + -2wy + -175y + 175y + 10y2 = 0 + 175y Combine like terms: -175y + 175y = 0 35w + -2wy + 0 + 10y2 = 0 + 175y 35w + -2wy + 10y2 = 0 + 175y Remove the zero: 35w + -2wy + 10y2 = 175y Add '-10y2' to each side of the equation. 35w + -2wy + 10y2 + -10y2 = 175y + -10y2 Combine like terms: 10y2 + -10y2 = 0 35w + -2wy + 0 = 175y + -10y2 35w + -2wy = 175y + -10y2 Reorder the terms: 35w + -2wy + -175y + 10y2 = 175y + -175y + -10y2 + 10y2 Combine like terms: 175y + -175y = 0 35w + -2wy + -175y + 10y2 = 0 + -10y2 + 10y2 35w + -2wy + -175y + 10y2 = -10y2 + 10y2 Combine like terms: -10y2 + 10y2 = 0 35w + -2wy + -175y + 10y2 = 0 The solution to this equation could not be determined.
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