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Simplifying (4y + -3w + 3)(5y + 2) = 1 Reorder the terms: (3 + -3w + 4y)(5y + 2) = 1 Reorder the terms: (3 + -3w + 4y)(2 + 5y) = 1 Multiply (3 + -3w + 4y) * (2 + 5y) (3(2 + 5y) + -3w * (2 + 5y) + 4y * (2 + 5y)) = 1 ((2 * 3 + 5y * 3) + -3w * (2 + 5y) + 4y * (2 + 5y)) = 1 ((6 + 15y) + -3w * (2 + 5y) + 4y * (2 + 5y)) = 1 (6 + 15y + (2 * -3w + 5y * -3w) + 4y * (2 + 5y)) = 1 (6 + 15y + (-6w + -15wy) + 4y * (2 + 5y)) = 1 (6 + 15y + -6w + -15wy + (2 * 4y + 5y * 4y)) = 1 (6 + 15y + -6w + -15wy + (8y + 20y2)) = 1 Reorder the terms: (6 + -6w + -15wy + 15y + 8y + 20y2) = 1 Combine like terms: 15y + 8y = 23y (6 + -6w + -15wy + 23y + 20y2) = 1 Solving 6 + -6w + -15wy + 23y + 20y2 = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6w + -15wy + 23y + -6 + 20y2 = 1 + -6 Reorder the terms: 6 + -6 + -6w + -15wy + 23y + 20y2 = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -6w + -15wy + 23y + 20y2 = 1 + -6 -6w + -15wy + 23y + 20y2 = 1 + -6 Combine like terms: 1 + -6 = -5 -6w + -15wy + 23y + 20y2 = -5 Add '-23y' to each side of the equation. -6w + -15wy + 23y + -23y + 20y2 = -5 + -23y Combine like terms: 23y + -23y = 0 -6w + -15wy + 0 + 20y2 = -5 + -23y -6w + -15wy + 20y2 = -5 + -23y Add '-20y2' to each side of the equation. -6w + -15wy + 20y2 + -20y2 = -5 + -23y + -20y2 Combine like terms: 20y2 + -20y2 = 0 -6w + -15wy + 0 = -5 + -23y + -20y2 -6w + -15wy = -5 + -23y + -20y2 Reorder the terms: 5 + -6w + -15wy + 23y + 20y2 = -5 + -23y + -20y2 + 5 + 23y + 20y2 Reorder the terms: 5 + -6w + -15wy + 23y + 20y2 = -5 + 5 + -23y + 23y + -20y2 + 20y2 Combine like terms: -5 + 5 = 0 5 + -6w + -15wy + 23y + 20y2 = 0 + -23y + 23y + -20y2 + 20y2 5 + -6w + -15wy + 23y + 20y2 = -23y + 23y + -20y2 + 20y2 Combine like terms: -23y + 23y = 0 5 + -6w + -15wy + 23y + 20y2 = 0 + -20y2 + 20y2 5 + -6w + -15wy + 23y + 20y2 = -20y2 + 20y2 Combine like terms: -20y2 + 20y2 = 0 5 + -6w + -15wy + 23y + 20y2 = 0 The solution to this equation could not be determined.
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