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