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Simplifying 3y + 10m + -2y + 6 + -5m = 0 Reorder the terms: 6 + 10m + -5m + 3y + -2y = 0 Combine like terms: 10m + -5m = 5m 6 + 5m + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y 6 + 5m + 1y = 0 Solving 6 + 5m + 1y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5m + -6 + 1y = 0 + -6 Reorder the terms: 6 + -6 + 5m + 1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5m + 1y = 0 + -6 5m + 1y = 0 + -6 Combine like terms: 0 + -6 = -6 5m + 1y = -6 Add '-1y' to each side of the equation. 5m + 1y + -1y = -6 + -1y Combine like terms: 1y + -1y = 0 5m + 0 = -6 + -1y 5m = -6 + -1y Divide each side by '5'. m = -1.2 + -0.2y Simplifying m = -1.2 + -0.2y
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