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Simplifying 3y + -1z = y + 5z Solving 3y + -1z = y + 5z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 3y + -1y + -1z = y + -1y + 5z Combine like terms: 3y + -1y = 2y 2y + -1z = y + -1y + 5z Combine like terms: y + -1y = 0 2y + -1z = 0 + 5z 2y + -1z = 5z Add 'z' to each side of the equation. 2y + -1z + z = 5z + z Combine like terms: -1z + z = 0 2y + 0 = 5z + z 2y = 5z + z Combine like terms: 5z + z = 6z 2y = 6z Divide each side by '2'. y = 3z Simplifying y = 3z
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