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Simplifying 2(7 + -1y) + 4y = 6y + 0.5(y + -7) (7 * 2 + -1y * 2) + 4y = 6y + 0.5(y + -7) (14 + -2y) + 4y = 6y + 0.5(y + -7) Combine like terms: -2y + 4y = 2y 14 + 2y = 6y + 0.5(y + -7) Reorder the terms: 14 + 2y = 6y + 0.5(-7 + y) 14 + 2y = 6y + (-7 * 0.5 + y * 0.5) 14 + 2y = 6y + (-3.5 + 0.5y) Reorder the terms: 14 + 2y = -3.5 + 6y + 0.5y Combine like terms: 6y + 0.5y = 6.5y 14 + 2y = -3.5 + 6.5y Solving 14 + 2y = -3.5 + 6.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.5y' to each side of the equation. 14 + 2y + -6.5y = -3.5 + 6.5y + -6.5y Combine like terms: 2y + -6.5y = -4.5y 14 + -4.5y = -3.5 + 6.5y + -6.5y Combine like terms: 6.5y + -6.5y = 0.0 14 + -4.5y = -3.5 + 0.0 14 + -4.5y = -3.5 Add '-14' to each side of the equation. 14 + -14 + -4.5y = -3.5 + -14 Combine like terms: 14 + -14 = 0 0 + -4.5y = -3.5 + -14 -4.5y = -3.5 + -14 Combine like terms: -3.5 + -14 = -17.5 -4.5y = -17.5 Divide each side by '-4.5'. y = 3.888888889 Simplifying y = 3.888888889
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