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Simplifying -3(3y + 5) + -5 = -6(y + 5) + 3y Reorder the terms: -3(5 + 3y) + -5 = -6(y + 5) + 3y (5 * -3 + 3y * -3) + -5 = -6(y + 5) + 3y (-15 + -9y) + -5 = -6(y + 5) + 3y Reorder the terms: -15 + -5 + -9y = -6(y + 5) + 3y Combine like terms: -15 + -5 = -20 -20 + -9y = -6(y + 5) + 3y Reorder the terms: -20 + -9y = -6(5 + y) + 3y -20 + -9y = (5 * -6 + y * -6) + 3y -20 + -9y = (-30 + -6y) + 3y Combine like terms: -6y + 3y = -3y -20 + -9y = -30 + -3y Solving -20 + -9y = -30 + -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. -20 + -9y + 3y = -30 + -3y + 3y Combine like terms: -9y + 3y = -6y -20 + -6y = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 -20 + -6y = -30 + 0 -20 + -6y = -30 Add '20' to each side of the equation. -20 + 20 + -6y = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -6y = -30 + 20 -6y = -30 + 20 Combine like terms: -30 + 20 = -10 -6y = -10 Divide each side by '-6'. y = 1.666666667 Simplifying y = 1.666666667
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