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Simplifying 2y + -6 + 5m = 2m + 4 Reorder the terms: -6 + 5m + 2y = 2m + 4 Reorder the terms: -6 + 5m + 2y = 4 + 2m Solving -6 + 5m + 2y = 4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -6 + 5m + -2m + 2y = 4 + 2m + -2m Combine like terms: 5m + -2m = 3m -6 + 3m + 2y = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 -6 + 3m + 2y = 4 + 0 -6 + 3m + 2y = 4 Add '6' to each side of the equation. -6 + 3m + 6 + 2y = 4 + 6 Reorder the terms: -6 + 6 + 3m + 2y = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 3m + 2y = 4 + 6 3m + 2y = 4 + 6 Combine like terms: 4 + 6 = 10 3m + 2y = 10 Add '-2y' to each side of the equation. 3m + 2y + -2y = 10 + -2y Combine like terms: 2y + -2y = 0 3m + 0 = 10 + -2y 3m = 10 + -2y Divide each side by '3'. m = 3.333333333 + -0.6666666667y Simplifying m = 3.333333333 + -0.6666666667y
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