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Simplifying 5(y + 7) + -2(y + 5) = 0 Reorder the terms: 5(7 + y) + -2(y + 5) = 0 (7 * 5 + y * 5) + -2(y + 5) = 0 (35 + 5y) + -2(y + 5) = 0 Reorder the terms: 35 + 5y + -2(5 + y) = 0 35 + 5y + (5 * -2 + y * -2) = 0 35 + 5y + (-10 + -2y) = 0 Reorder the terms: 35 + -10 + 5y + -2y = 0 Combine like terms: 35 + -10 = 25 25 + 5y + -2y = 0 Combine like terms: 5y + -2y = 3y 25 + 3y = 0 Solving 25 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3y = 0 + -25 3y = 0 + -25 Combine like terms: 0 + -25 = -25 3y = -25 Divide each side by '3'. y = -8.333333333 Simplifying y = -8.333333333
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