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Simplifying -5(-3y + 7) + -3y = 6(y + -6) + -9 Reorder the terms: -5(7 + -3y) + -3y = 6(y + -6) + -9 (7 * -5 + -3y * -5) + -3y = 6(y + -6) + -9 (-35 + 15y) + -3y = 6(y + -6) + -9 Combine like terms: 15y + -3y = 12y -35 + 12y = 6(y + -6) + -9 Reorder the terms: -35 + 12y = 6(-6 + y) + -9 -35 + 12y = (-6 * 6 + y * 6) + -9 -35 + 12y = (-36 + 6y) + -9 Reorder the terms: -35 + 12y = -36 + -9 + 6y Combine like terms: -36 + -9 = -45 -35 + 12y = -45 + 6y Solving -35 + 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. -35 + 12y + -6y = -45 + 6y + -6y Combine like terms: 12y + -6y = 6y -35 + 6y = -45 + 6y + -6y Combine like terms: 6y + -6y = 0 -35 + 6y = -45 + 0 -35 + 6y = -45 Add '35' to each side of the equation. -35 + 35 + 6y = -45 + 35 Combine like terms: -35 + 35 = 0 0 + 6y = -45 + 35 6y = -45 + 35 Combine like terms: -45 + 35 = -10 6y = -10 Divide each side by '6'. y = -1.666666667 Simplifying y = -1.666666667
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