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Simplifying 2(7 + -1y) + 4y = 6y + 0.5(7 + -1y) (7 * 2 + -1y * 2) + 4y = 6y + 0.5(7 + -1y) (14 + -2y) + 4y = 6y + 0.5(7 + -1y) Combine like terms: -2y + 4y = 2y 14 + 2y = 6y + 0.5(7 + -1y) 14 + 2y = 6y + (7 * 0.5 + -1y * 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 = 5.5y 14 + 2y = 3.5 + 5.5y Solving 14 + 2y = 3.5 + 5.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.5y' to each side of the equation. 14 + 2y + -5.5y = 3.5 + 5.5y + -5.5y Combine like terms: 2y + -5.5y = -3.5y 14 + -3.5y = 3.5 + 5.5y + -5.5y Combine like terms: 5.5y + -5.5y = 0.0 14 + -3.5y = 3.5 + 0.0 14 + -3.5y = 3.5 Add '-14' to each side of the equation. 14 + -14 + -3.5y = 3.5 + -14 Combine like terms: 14 + -14 = 0 0 + -3.5y = 3.5 + -14 -3.5y = 3.5 + -14 Combine like terms: 3.5 + -14 = -10.5 -3.5y = -10.5 Divide each side by '-3.5'. y = 3 Simplifying y = 3
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