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Simplifying 5(y + -2) = 2(5 + -2y) Reorder the terms: 5(-2 + y) = 2(5 + -2y) (-2 * 5 + y * 5) = 2(5 + -2y) (-10 + 5y) = 2(5 + -2y) -10 + 5y = (5 * 2 + -2y * 2) -10 + 5y = (10 + -4y) Solving -10 + 5y = 10 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -10 + 5y + 4y = 10 + -4y + 4y Combine like terms: 5y + 4y = 9y -10 + 9y = 10 + -4y + 4y Combine like terms: -4y + 4y = 0 -10 + 9y = 10 + 0 -10 + 9y = 10 Add '10' to each side of the equation. -10 + 10 + 9y = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 9y = 10 + 10 9y = 10 + 10 Combine like terms: 10 + 10 = 20 9y = 20 Divide each side by '9'. y = 2.222222222 Simplifying y = 2.222222222
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