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Simplifying -4(3y + 3) = 3(1 + -2y) + -9 Reorder the terms: -4(3 + 3y) = 3(1 + -2y) + -9 (3 * -4 + 3y * -4) = 3(1 + -2y) + -9 (-12 + -12y) = 3(1 + -2y) + -9 -12 + -12y = (1 * 3 + -2y * 3) + -9 -12 + -12y = (3 + -6y) + -9 Reorder the terms: -12 + -12y = 3 + -9 + -6y Combine like terms: 3 + -9 = -6 -12 + -12y = -6 + -6y Solving -12 + -12y = -6 + -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. -12 + -12y + 6y = -6 + -6y + 6y Combine like terms: -12y + 6y = -6y -12 + -6y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 -12 + -6y = -6 + 0 -12 + -6y = -6 Add '12' to each side of the equation. -12 + 12 + -6y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6y = -6 + 12 -6y = -6 + 12 Combine like terms: -6 + 12 = 6 -6y = 6 Divide each side by '-6'. y = -1 Simplifying y = -1
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