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Simplifying 7m + 8y + -1(-8) + y + -2m + 42 = 0 Multiply -1 * -8 7m + 8y + 8 + y + -2m + 42 = 0 Reorder the terms: 8 + 42 + 7m + -2m + 8y + y = 0 Combine like terms: 8 + 42 = 50 50 + 7m + -2m + 8y + y = 0 Combine like terms: 7m + -2m = 5m 50 + 5m + 8y + y = 0 Combine like terms: 8y + y = 9y 50 + 5m + 9y = 0 Solving 50 + 5m + 9y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 5m + -50 + 9y = 0 + -50 Reorder the terms: 50 + -50 + 5m + 9y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 5m + 9y = 0 + -50 5m + 9y = 0 + -50 Combine like terms: 0 + -50 = -50 5m + 9y = -50 Add '-9y' to each side of the equation. 5m + 9y + -9y = -50 + -9y Combine like terms: 9y + -9y = 0 5m + 0 = -50 + -9y 5m = -50 + -9y Divide each side by '5'. m = -10 + -1.8y Simplifying m = -10 + -1.8y
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