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Simplifying -4(3y + 5) + -6 = -9(y + 4) + 3y Reorder the terms: -4(5 + 3y) + -6 = -9(y + 4) + 3y (5 * -4 + 3y * -4) + -6 = -9(y + 4) + 3y (-20 + -12y) + -6 = -9(y + 4) + 3y Reorder the terms: -20 + -6 + -12y = -9(y + 4) + 3y Combine like terms: -20 + -6 = -26 -26 + -12y = -9(y + 4) + 3y Reorder the terms: -26 + -12y = -9(4 + y) + 3y -26 + -12y = (4 * -9 + y * -9) + 3y -26 + -12y = (-36 + -9y) + 3y Combine like terms: -9y + 3y = -6y -26 + -12y = -36 + -6y Solving -26 + -12y = -36 + -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. -26 + -12y + 6y = -36 + -6y + 6y Combine like terms: -12y + 6y = -6y -26 + -6y = -36 + -6y + 6y Combine like terms: -6y + 6y = 0 -26 + -6y = -36 + 0 -26 + -6y = -36 Add '26' to each side of the equation. -26 + 26 + -6y = -36 + 26 Combine like terms: -26 + 26 = 0 0 + -6y = -36 + 26 -6y = -36 + 26 Combine like terms: -36 + 26 = -10 -6y = -10 Divide each side by '-6'. y = 1.666666667 Simplifying y = 1.666666667
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