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Simplifying 3(y + -8) = 9(y + 2) + 5 Reorder the terms: 3(-8 + y) = 9(y + 2) + 5 (-8 * 3 + y * 3) = 9(y + 2) + 5 (-24 + 3y) = 9(y + 2) + 5 Reorder the terms: -24 + 3y = 9(2 + y) + 5 -24 + 3y = (2 * 9 + y * 9) + 5 -24 + 3y = (18 + 9y) + 5 Reorder the terms: -24 + 3y = 18 + 5 + 9y Combine like terms: 18 + 5 = 23 -24 + 3y = 23 + 9y Solving -24 + 3y = 23 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -24 + 3y + -9y = 23 + 9y + -9y Combine like terms: 3y + -9y = -6y -24 + -6y = 23 + 9y + -9y Combine like terms: 9y + -9y = 0 -24 + -6y = 23 + 0 -24 + -6y = 23 Add '24' to each side of the equation. -24 + 24 + -6y = 23 + 24 Combine like terms: -24 + 24 = 0 0 + -6y = 23 + 24 -6y = 23 + 24 Combine like terms: 23 + 24 = 47 -6y = 47 Divide each side by '-6'. y = -7.833333333 Simplifying y = -7.833333333
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