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Simplifying 4z + 3y = 3x + -1y Reorder the terms: 3y + 4z = 3x + -1y Solving 3y + 4z = 3x + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 3y + y + 4z = 3x + -1y + y Combine like terms: 3y + y = 4y 4y + 4z = 3x + -1y + y Combine like terms: -1y + y = 0 4y + 4z = 3x + 0 4y + 4z = 3x Add '-4z' to each side of the equation. 4y + 4z + -4z = 3x + -4z Combine like terms: 4z + -4z = 0 4y + 0 = 3x + -4z 4y = 3x + -4z Divide each side by '4'. y = 0.75x + -1z Simplifying y = 0.75x + -1z
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