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Simplifying 5(y + 2) = 2(3 + -1y) Reorder the terms: 5(2 + y) = 2(3 + -1y) (2 * 5 + y * 5) = 2(3 + -1y) (10 + 5y) = 2(3 + -1y) 10 + 5y = (3 * 2 + -1y * 2) 10 + 5y = (6 + -2y) Solving 10 + 5y = 6 + -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 = 6 + -2y + 2y Combine like terms: 5y + 2y = 7y 10 + 7y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 10 + 7y = 6 + 0 10 + 7y = 6 Add '-10' to each side of the equation. 10 + -10 + 7y = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 7y = 6 + -10 7y = 6 + -10 Combine like terms: 6 + -10 = -4 7y = -4 Divide each side by '7'. y = -0.5714285714 Simplifying y = -0.5714285714
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