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Simplifying 5(y + -2) = 2(7 + -1y) Reorder the terms: 5(-2 + y) = 2(7 + -1y) (-2 * 5 + y * 5) = 2(7 + -1y) (-10 + 5y) = 2(7 + -1y) -10 + 5y = (7 * 2 + -1y * 2) -10 + 5y = (14 + -2y) Solving -10 + 5y = 14 + -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. -10 + 5y + 2y = 14 + -2y + 2y Combine like terms: 5y + 2y = 7y -10 + 7y = 14 + -2y + 2y Combine like terms: -2y + 2y = 0 -10 + 7y = 14 + 0 -10 + 7y = 14 Add '10' to each side of the equation. -10 + 10 + 7y = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 7y = 14 + 10 7y = 14 + 10 Combine like terms: 14 + 10 = 24 7y = 24 Divide each side by '7'. y = 3.428571429 Simplifying y = 3.428571429
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