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Simplifying 5(y + 8) + z = 0 Reorder the terms: 5(8 + y) + z = 0 (8 * 5 + y * 5) + z = 0 (40 + 5y) + z = 0 Solving 40 + 5y + z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 5y + -40 + z = 0 + -40 Reorder the terms: 40 + -40 + 5y + z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5y + z = 0 + -40 5y + z = 0 + -40 Combine like terms: 0 + -40 = -40 5y + z = -40 Add '-1z' to each side of the equation. 5y + z + -1z = -40 + -1z Combine like terms: z + -1z = 0 5y + 0 = -40 + -1z 5y = -40 + -1z Divide each side by '5'. y = -8 + -0.2z Simplifying y = -8 + -0.2z
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