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Simplifying 2y + 5(y + 2) = 7y + -2(y + -10) Reorder the terms: 2y + 5(2 + y) = 7y + -2(y + -10) 2y + (2 * 5 + y * 5) = 7y + -2(y + -10) 2y + (10 + 5y) = 7y + -2(y + -10) Reorder the terms: 10 + 2y + 5y = 7y + -2(y + -10) Combine like terms: 2y + 5y = 7y 10 + 7y = 7y + -2(y + -10) Reorder the terms: 10 + 7y = 7y + -2(-10 + y) 10 + 7y = 7y + (-10 * -2 + y * -2) 10 + 7y = 7y + (20 + -2y) Reorder the terms: 10 + 7y = 20 + 7y + -2y Combine like terms: 7y + -2y = 5y 10 + 7y = 20 + 5y Solving 10 + 7y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 10 + 7y + -5y = 20 + 5y + -5y Combine like terms: 7y + -5y = 2y 10 + 2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + 2y = 20 + 0 10 + 2y = 20 Add '-10' to each side of the equation. 10 + -10 + 2y = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = 20 + -10 2y = 20 + -10 Combine like terms: 20 + -10 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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