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Simplifying 5(y + 5) = -2(7y + -9) + 5y Reorder the terms: 5(5 + y) = -2(7y + -9) + 5y (5 * 5 + y * 5) = -2(7y + -9) + 5y (25 + 5y) = -2(7y + -9) + 5y Reorder the terms: 25 + 5y = -2(-9 + 7y) + 5y 25 + 5y = (-9 * -2 + 7y * -2) + 5y 25 + 5y = (18 + -14y) + 5y Combine like terms: -14y + 5y = -9y 25 + 5y = 18 + -9y Solving 25 + 5y = 18 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 25 + 5y + 9y = 18 + -9y + 9y Combine like terms: 5y + 9y = 14y 25 + 14y = 18 + -9y + 9y Combine like terms: -9y + 9y = 0 25 + 14y = 18 + 0 25 + 14y = 18 Add '-25' to each side of the equation. 25 + -25 + 14y = 18 + -25 Combine like terms: 25 + -25 = 0 0 + 14y = 18 + -25 14y = 18 + -25 Combine like terms: 18 + -25 = -7 14y = -7 Divide each side by '14'. y = -0.5 Simplifying y = -0.5
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