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