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Simplifying 3(2y + -4) = 8y + 9 + -9y Reorder the terms: 3(-4 + 2y) = 8y + 9 + -9y (-4 * 3 + 2y * 3) = 8y + 9 + -9y (-12 + 6y) = 8y + 9 + -9y Reorder the terms: -12 + 6y = 9 + 8y + -9y Combine like terms: 8y + -9y = -1y -12 + 6y = 9 + -1y Solving -12 + 6y = 9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -12 + 6y + y = 9 + -1y + y Combine like terms: 6y + y = 7y -12 + 7y = 9 + -1y + y Combine like terms: -1y + y = 0 -12 + 7y = 9 + 0 -12 + 7y = 9 Add '12' to each side of the equation. -12 + 12 + 7y = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7y = 9 + 12 7y = 9 + 12 Combine like terms: 9 + 12 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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