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