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Simplifying 3(3y + -8) + -2(y + 4) = 0 Reorder the terms: 3(-8 + 3y) + -2(y + 4) = 0 (-8 * 3 + 3y * 3) + -2(y + 4) = 0 (-24 + 9y) + -2(y + 4) = 0 Reorder the terms: -24 + 9y + -2(4 + y) = 0 -24 + 9y + (4 * -2 + y * -2) = 0 -24 + 9y + (-8 + -2y) = 0 Reorder the terms: -24 + -8 + 9y + -2y = 0 Combine like terms: -24 + -8 = -32 -32 + 9y + -2y = 0 Combine like terms: 9y + -2y = 7y -32 + 7y = 0 Solving -32 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 7y = 0 + 32 7y = 0 + 32 Combine like terms: 0 + 32 = 32 7y = 32 Divide each side by '7'. y = 4.571428571 Simplifying y = 4.571428571
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