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Simplifying 8(2m + -4) + 14y = 19 Reorder the terms: 8(-4 + 2m) + 14y = 19 (-4 * 8 + 2m * 8) + 14y = 19 (-32 + 16m) + 14y = 19 Solving -32 + 16m + 14y = 19 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 16m + 32 + 14y = 19 + 32 Reorder the terms: -32 + 32 + 16m + 14y = 19 + 32 Combine like terms: -32 + 32 = 0 0 + 16m + 14y = 19 + 32 16m + 14y = 19 + 32 Combine like terms: 19 + 32 = 51 16m + 14y = 51 Add '-14y' to each side of the equation. 16m + 14y + -14y = 51 + -14y Combine like terms: 14y + -14y = 0 16m + 0 = 51 + -14y 16m = 51 + -14y Divide each side by '16'. m = 3.1875 + -0.875y Simplifying m = 3.1875 + -0.875y
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