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Simplifying 9 + -3(y + 8) = 4 + -5y Reorder the terms: 9 + -3(8 + y) = 4 + -5y 9 + (8 * -3 + y * -3) = 4 + -5y 9 + (-24 + -3y) = 4 + -5y Combine like terms: 9 + -24 = -15 -15 + -3y = 4 + -5y Solving -15 + -3y = 4 + -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. -15 + -3y + 5y = 4 + -5y + 5y Combine like terms: -3y + 5y = 2y -15 + 2y = 4 + -5y + 5y Combine like terms: -5y + 5y = 0 -15 + 2y = 4 + 0 -15 + 2y = 4 Add '15' to each side of the equation. -15 + 15 + 2y = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = 4 + 15 2y = 4 + 15 Combine like terms: 4 + 15 = 19 2y = 19 Divide each side by '2'. y = 9.5 Simplifying y = 9.5
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