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Simplifying 4[2y + -4] = 5y + 2 Reorder the terms: 4[-4 + 2y] = 5y + 2 [-4 * 4 + 2y * 4] = 5y + 2 [-16 + 8y] = 5y + 2 Reorder the terms: -16 + 8y = 2 + 5y Solving -16 + 8y = 2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -16 + 8y + -5y = 2 + 5y + -5y Combine like terms: 8y + -5y = 3y -16 + 3y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + 3y = 2 + 0 -16 + 3y = 2 Add '16' to each side of the equation. -16 + 16 + 3y = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 3y = 2 + 16 3y = 2 + 16 Combine like terms: 2 + 16 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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