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Simplifying 2y + -9 = -5(y + -8) Reorder the terms: -9 + 2y = -5(y + -8) Reorder the terms: -9 + 2y = -5(-8 + y) -9 + 2y = (-8 * -5 + y * -5) -9 + 2y = (40 + -5y) Solving -9 + 2y = 40 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -9 + 2y + 5y = 40 + -5y + 5y Combine like terms: 2y + 5y = 7y -9 + 7y = 40 + -5y + 5y Combine like terms: -5y + 5y = 0 -9 + 7y = 40 + 0 -9 + 7y = 40 Add '9' to each side of the equation. -9 + 9 + 7y = 40 + 9 Combine like terms: -9 + 9 = 0 0 + 7y = 40 + 9 7y = 40 + 9 Combine like terms: 40 + 9 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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