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Simplifying -3(3y + 5) + -17 = -6(y + 6) + 3y Reorder the terms: -3(5 + 3y) + -17 = -6(y + 6) + 3y (5 * -3 + 3y * -3) + -17 = -6(y + 6) + 3y (-15 + -9y) + -17 = -6(y + 6) + 3y Reorder the terms: -15 + -17 + -9y = -6(y + 6) + 3y Combine like terms: -15 + -17 = -32 -32 + -9y = -6(y + 6) + 3y Reorder the terms: -32 + -9y = -6(6 + y) + 3y -32 + -9y = (6 * -6 + y * -6) + 3y -32 + -9y = (-36 + -6y) + 3y Combine like terms: -6y + 3y = -3y -32 + -9y = -36 + -3y Solving -32 + -9y = -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. -32 + -9y + 3y = -36 + -3y + 3y Combine like terms: -9y + 3y = -6y -32 + -6y = -36 + -3y + 3y Combine like terms: -3y + 3y = 0 -32 + -6y = -36 + 0 -32 + -6y = -36 Add '32' to each side of the equation. -32 + 32 + -6y = -36 + 32 Combine like terms: -32 + 32 = 0 0 + -6y = -36 + 32 -6y = -36 + 32 Combine like terms: -36 + 32 = -4 -6y = -4 Divide each side by '-6'. y = 0.6666666667 Simplifying y = 0.6666666667
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