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Simplifying -3(-6y + 9) + -5y = 7(y + -2) + -3 Reorder the terms: -3(9 + -6y) + -5y = 7(y + -2) + -3 (9 * -3 + -6y * -3) + -5y = 7(y + -2) + -3 (-27 + 18y) + -5y = 7(y + -2) + -3 Combine like terms: 18y + -5y = 13y -27 + 13y = 7(y + -2) + -3 Reorder the terms: -27 + 13y = 7(-2 + y) + -3 -27 + 13y = (-2 * 7 + y * 7) + -3 -27 + 13y = (-14 + 7y) + -3 Reorder the terms: -27 + 13y = -14 + -3 + 7y Combine like terms: -14 + -3 = -17 -27 + 13y = -17 + 7y Solving -27 + 13y = -17 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -27 + 13y + -7y = -17 + 7y + -7y Combine like terms: 13y + -7y = 6y -27 + 6y = -17 + 7y + -7y Combine like terms: 7y + -7y = 0 -27 + 6y = -17 + 0 -27 + 6y = -17 Add '27' to each side of the equation. -27 + 27 + 6y = -17 + 27 Combine like terms: -27 + 27 = 0 0 + 6y = -17 + 27 6y = -17 + 27 Combine like terms: -17 + 27 = 10 6y = 10 Divide each side by '6'. y = 1.666666667 Simplifying y = 1.666666667
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