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Simplifying 7(y + 1) = -8y + -9 Reorder the terms: 7(1 + y) = -8y + -9 (1 * 7 + y * 7) = -8y + -9 (7 + 7y) = -8y + -9 Reorder the terms: 7 + 7y = -9 + -8y Solving 7 + 7y = -9 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 7 + 7y + 8y = -9 + -8y + 8y Combine like terms: 7y + 8y = 15y 7 + 15y = -9 + -8y + 8y Combine like terms: -8y + 8y = 0 7 + 15y = -9 + 0 7 + 15y = -9 Add '-7' to each side of the equation. 7 + -7 + 15y = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 15y = -9 + -7 15y = -9 + -7 Combine like terms: -9 + -7 = -16 15y = -16 Divide each side by '15'. y = -1.066666667 Simplifying y = -1.066666667
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