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Simplifying 3(y + -8) = 4(2y + 9) Reorder the terms: 3(-8 + y) = 4(2y + 9) (-8 * 3 + y * 3) = 4(2y + 9) (-24 + 3y) = 4(2y + 9) Reorder the terms: -24 + 3y = 4(9 + 2y) -24 + 3y = (9 * 4 + 2y * 4) -24 + 3y = (36 + 8y) Solving -24 + 3y = 36 + 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. -24 + 3y + -8y = 36 + 8y + -8y Combine like terms: 3y + -8y = -5y -24 + -5y = 36 + 8y + -8y Combine like terms: 8y + -8y = 0 -24 + -5y = 36 + 0 -24 + -5y = 36 Add '24' to each side of the equation. -24 + 24 + -5y = 36 + 24 Combine like terms: -24 + 24 = 0 0 + -5y = 36 + 24 -5y = 36 + 24 Combine like terms: 36 + 24 = 60 -5y = 60 Divide each side by '-5'. y = -12 Simplifying y = -12
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