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Simplifying y + -7(y + -2) = (-8y + 14) + -9 Reorder the terms: y + -7(-2 + y) = (-8y + 14) + -9 y + (-2 * -7 + y * -7) = (-8y + 14) + -9 y + (14 + -7y) = (-8y + 14) + -9 Reorder the terms: 14 + y + -7y = (-8y + 14) + -9 Combine like terms: y + -7y = -6y 14 + -6y = (-8y + 14) + -9 Reorder the terms: 14 + -6y = (14 + -8y) + -9 Remove parenthesis around (14 + -8y) 14 + -6y = 14 + -8y + -9 Reorder the terms: 14 + -6y = 14 + -9 + -8y Combine like terms: 14 + -9 = 5 14 + -6y = 5 + -8y Solving 14 + -6y = 5 + -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. 14 + -6y + 8y = 5 + -8y + 8y Combine like terms: -6y + 8y = 2y 14 + 2y = 5 + -8y + 8y Combine like terms: -8y + 8y = 0 14 + 2y = 5 + 0 14 + 2y = 5 Add '-14' to each side of the equation. 14 + -14 + 2y = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 2y = 5 + -14 2y = 5 + -14 Combine like terms: 5 + -14 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5
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