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Simplifying 3y + 7 + -1(2 + -4y) = 2y 3y + 7 + (2 * -1 + -4y * -1) = 2y 3y + 7 + (-2 + 4y) = 2y Reorder the terms: 7 + -2 + 3y + 4y = 2y Combine like terms: 7 + -2 = 5 5 + 3y + 4y = 2y Combine like terms: 3y + 4y = 7y 5 + 7y = 2y Solving 5 + 7y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 5 + 7y + -2y = 2y + -2y Combine like terms: 7y + -2y = 5y 5 + 5y = 2y + -2y Combine like terms: 2y + -2y = 0 5 + 5y = 0 Add '-5' to each side of the equation. 5 + -5 + 5y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5y = 0 + -5 5y = 0 + -5 Combine like terms: 0 + -5 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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