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Simplifying 2(y + 5) + 5(y + -2) + 7 = 0 Reorder the terms: 2(5 + y) + 5(y + -2) + 7 = 0 (5 * 2 + y * 2) + 5(y + -2) + 7 = 0 (10 + 2y) + 5(y + -2) + 7 = 0 Reorder the terms: 10 + 2y + 5(-2 + y) + 7 = 0 10 + 2y + (-2 * 5 + y * 5) + 7 = 0 10 + 2y + (-10 + 5y) + 7 = 0 Reorder the terms: 10 + -10 + 7 + 2y + 5y = 0 Combine like terms: 10 + -10 = 0 0 + 7 + 2y + 5y = 0 7 + 2y + 5y = 0 Combine like terms: 2y + 5y = 7y 7 + 7y = 0 Solving 7 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7y = 0 + -7 7y = 0 + -7 Combine like terms: 0 + -7 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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