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Simplifying -4m + 3(2y + -4) + 4 + -5m = -5m + 2 + -1(6 + -4y) + -4m Reorder the terms: -4m + 3(-4 + 2y) + 4 + -5m = -5m + 2 + -1(6 + -4y) + -4m -4m + (-4 * 3 + 2y * 3) + 4 + -5m = -5m + 2 + -1(6 + -4y) + -4m -4m + (-12 + 6y) + 4 + -5m = -5m + 2 + -1(6 + -4y) + -4m Reorder the terms: -12 + 4 + -4m + -5m + 6y = -5m + 2 + -1(6 + -4y) + -4m Combine like terms: -12 + 4 = -8 -8 + -4m + -5m + 6y = -5m + 2 + -1(6 + -4y) + -4m Combine like terms: -4m + -5m = -9m -8 + -9m + 6y = -5m + 2 + -1(6 + -4y) + -4m -8 + -9m + 6y = -5m + 2 + (6 * -1 + -4y * -1) + -4m -8 + -9m + 6y = -5m + 2 + (-6 + 4y) + -4m Reorder the terms: -8 + -9m + 6y = 2 + -6 + -5m + -4m + 4y Combine like terms: 2 + -6 = -4 -8 + -9m + 6y = -4 + -5m + -4m + 4y Combine like terms: -5m + -4m = -9m -8 + -9m + 6y = -4 + -9m + 4y Add '9m' to each side of the equation. -8 + -9m + 9m + 6y = -4 + -9m + 9m + 4y Combine like terms: -9m + 9m = 0 -8 + 0 + 6y = -4 + -9m + 9m + 4y -8 + 6y = -4 + -9m + 9m + 4y Combine like terms: -9m + 9m = 0 -8 + 6y = -4 + 0 + 4y -8 + 6y = -4 + 4y Solving -8 + 6y = -4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + 6y + -4y = -4 + 4y + -4y Combine like terms: 6y + -4y = 2y -8 + 2y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + 2y = -4 + 0 -8 + 2y = -4 Add '8' to each side of the equation. -8 + 8 + 2y = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = -4 + 8 2y = -4 + 8 Combine like terms: -4 + 8 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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