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Simplifying 7y + -5(y + -9) = 9 + -6(y + -9) Reorder the terms: 7y + -5(-9 + y) = 9 + -6(y + -9) 7y + (-9 * -5 + y * -5) = 9 + -6(y + -9) 7y + (45 + -5y) = 9 + -6(y + -9) Reorder the terms: 45 + 7y + -5y = 9 + -6(y + -9) Combine like terms: 7y + -5y = 2y 45 + 2y = 9 + -6(y + -9) Reorder the terms: 45 + 2y = 9 + -6(-9 + y) 45 + 2y = 9 + (-9 * -6 + y * -6) 45 + 2y = 9 + (54 + -6y) Combine like terms: 9 + 54 = 63 45 + 2y = 63 + -6y Solving 45 + 2y = 63 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 45 + 2y + 6y = 63 + -6y + 6y Combine like terms: 2y + 6y = 8y 45 + 8y = 63 + -6y + 6y Combine like terms: -6y + 6y = 0 45 + 8y = 63 + 0 45 + 8y = 63 Add '-45' to each side of the equation. 45 + -45 + 8y = 63 + -45 Combine like terms: 45 + -45 = 0 0 + 8y = 63 + -45 8y = 63 + -45 Combine like terms: 63 + -45 = 18 8y = 18 Divide each side by '8'. y = 2.25 Simplifying y = 2.25
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