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Simplifying -3(3 + -4y) = 6y + 45 (3 * -3 + -4y * -3) = 6y + 45 (-9 + 12y) = 6y + 45 Reorder the terms: -9 + 12y = 45 + 6y Solving -9 + 12y = 45 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -9 + 12y + -6y = 45 + 6y + -6y Combine like terms: 12y + -6y = 6y -9 + 6y = 45 + 6y + -6y Combine like terms: 6y + -6y = 0 -9 + 6y = 45 + 0 -9 + 6y = 45 Add '9' to each side of the equation. -9 + 9 + 6y = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 6y = 45 + 9 6y = 45 + 9 Combine like terms: 45 + 9 = 54 6y = 54 Divide each side by '6'. y = 9 Simplifying y = 9
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