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Simplifying 2 + -5(y + 9) = 9 + 8y Reorder the terms: 2 + -5(9 + y) = 9 + 8y 2 + (9 * -5 + y * -5) = 9 + 8y 2 + (-45 + -5y) = 9 + 8y Combine like terms: 2 + -45 = -43 -43 + -5y = 9 + 8y Solving -43 + -5y = 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. -43 + -5y + -8y = 9 + 8y + -8y Combine like terms: -5y + -8y = -13y -43 + -13y = 9 + 8y + -8y Combine like terms: 8y + -8y = 0 -43 + -13y = 9 + 0 -43 + -13y = 9 Add '43' to each side of the equation. -43 + 43 + -13y = 9 + 43 Combine like terms: -43 + 43 = 0 0 + -13y = 9 + 43 -13y = 9 + 43 Combine like terms: 9 + 43 = 52 -13y = 52 Divide each side by '-13'. y = -4 Simplifying y = -4
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