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Simplifying 2 + 4(2y + -4) = 4y + -14 + y Reorder the terms: 2 + 4(-4 + 2y) = 4y + -14 + y 2 + (-4 * 4 + 2y * 4) = 4y + -14 + y 2 + (-16 + 8y) = 4y + -14 + y Combine like terms: 2 + -16 = -14 -14 + 8y = 4y + -14 + y Reorder the terms: -14 + 8y = -14 + 4y + y Combine like terms: 4y + y = 5y -14 + 8y = -14 + 5y Add '14' to each side of the equation. -14 + 14 + 8y = -14 + 14 + 5y Combine like terms: -14 + 14 = 0 0 + 8y = -14 + 14 + 5y 8y = -14 + 14 + 5y Combine like terms: -14 + 14 = 0 8y = 0 + 5y 8y = 5y Solving 8y = 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. 8y + -5y = 5y + -5y Combine like terms: 8y + -5y = 3y 3y = 5y + -5y Combine like terms: 5y + -5y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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