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Simplifying -4(3y + 3) + -9 = -6(y + 6) + 3y Reorder the terms: -4(3 + 3y) + -9 = -6(y + 6) + 3y (3 * -4 + 3y * -4) + -9 = -6(y + 6) + 3y (-12 + -12y) + -9 = -6(y + 6) + 3y Reorder the terms: -12 + -9 + -12y = -6(y + 6) + 3y Combine like terms: -12 + -9 = -21 -21 + -12y = -6(y + 6) + 3y Reorder the terms: -21 + -12y = -6(6 + y) + 3y -21 + -12y = (6 * -6 + y * -6) + 3y -21 + -12y = (-36 + -6y) + 3y Combine like terms: -6y + 3y = -3y -21 + -12y = -36 + -3y Solving -21 + -12y = -36 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -21 + -12y + 3y = -36 + -3y + 3y Combine like terms: -12y + 3y = -9y -21 + -9y = -36 + -3y + 3y Combine like terms: -3y + 3y = 0 -21 + -9y = -36 + 0 -21 + -9y = -36 Add '21' to each side of the equation. -21 + 21 + -9y = -36 + 21 Combine like terms: -21 + 21 = 0 0 + -9y = -36 + 21 -9y = -36 + 21 Combine like terms: -36 + 21 = -15 -9y = -15 Divide each side by '-9'. y = 1.666666667 Simplifying y = 1.666666667
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