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Simplifying 7y + -9 + 2(4y + 5) = -3(y + 5) Reorder the terms: 7y + -9 + 2(5 + 4y) = -3(y + 5) 7y + -9 + (5 * 2 + 4y * 2) = -3(y + 5) 7y + -9 + (10 + 8y) = -3(y + 5) Reorder the terms: -9 + 10 + 7y + 8y = -3(y + 5) Combine like terms: -9 + 10 = 1 1 + 7y + 8y = -3(y + 5) Combine like terms: 7y + 8y = 15y 1 + 15y = -3(y + 5) Reorder the terms: 1 + 15y = -3(5 + y) 1 + 15y = (5 * -3 + y * -3) 1 + 15y = (-15 + -3y) Solving 1 + 15y = -15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 1 + 15y + 3y = -15 + -3y + 3y Combine like terms: 15y + 3y = 18y 1 + 18y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 1 + 18y = -15 + 0 1 + 18y = -15 Add '-1' to each side of the equation. 1 + -1 + 18y = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 18y = -15 + -1 18y = -15 + -1 Combine like terms: -15 + -1 = -16 18y = -16 Divide each side by '18'. y = -0.8888888889 Simplifying y = -0.8888888889
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