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Simplifying -3(-6y + 9) + -1y = 2(y + -7) + -3 Reorder the terms: -3(9 + -6y) + -1y = 2(y + -7) + -3 (9 * -3 + -6y * -3) + -1y = 2(y + -7) + -3 (-27 + 18y) + -1y = 2(y + -7) + -3 Combine like terms: 18y + -1y = 17y -27 + 17y = 2(y + -7) + -3 Reorder the terms: -27 + 17y = 2(-7 + y) + -3 -27 + 17y = (-7 * 2 + y * 2) + -3 -27 + 17y = (-14 + 2y) + -3 Reorder the terms: -27 + 17y = -14 + -3 + 2y Combine like terms: -14 + -3 = -17 -27 + 17y = -17 + 2y Solving -27 + 17y = -17 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -27 + 17y + -2y = -17 + 2y + -2y Combine like terms: 17y + -2y = 15y -27 + 15y = -17 + 2y + -2y Combine like terms: 2y + -2y = 0 -27 + 15y = -17 + 0 -27 + 15y = -17 Add '27' to each side of the equation. -27 + 27 + 15y = -17 + 27 Combine like terms: -27 + 27 = 0 0 + 15y = -17 + 27 15y = -17 + 27 Combine like terms: -17 + 27 = 10 15y = 10 Divide each side by '15'. y = 0.6666666667 Simplifying y = 0.6666666667
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