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Simplifying z + 32 = 5y + 10 Reorder the terms: 32 + z = 5y + 10 Reorder the terms: 32 + z = 10 + 5y Solving 32 + z = 10 + 5y Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + z = 10 + -32 + 5y Combine like terms: 32 + -32 = 0 0 + z = 10 + -32 + 5y z = 10 + -32 + 5y Combine like terms: 10 + -32 = -22 z = -22 + 5y Simplifying z = -22 + 5y
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