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Simplifying -3(-8y + 3) + -9y = 3(y + -2) + -1 Reorder the terms: -3(3 + -8y) + -9y = 3(y + -2) + -1 (3 * -3 + -8y * -3) + -9y = 3(y + -2) + -1 (-9 + 24y) + -9y = 3(y + -2) + -1 Combine like terms: 24y + -9y = 15y -9 + 15y = 3(y + -2) + -1 Reorder the terms: -9 + 15y = 3(-2 + y) + -1 -9 + 15y = (-2 * 3 + y * 3) + -1 -9 + 15y = (-6 + 3y) + -1 Reorder the terms: -9 + 15y = -6 + -1 + 3y Combine like terms: -6 + -1 = -7 -9 + 15y = -7 + 3y Solving -9 + 15y = -7 + 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. -9 + 15y + -3y = -7 + 3y + -3y Combine like terms: 15y + -3y = 12y -9 + 12y = -7 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + 12y = -7 + 0 -9 + 12y = -7 Add '9' to each side of the equation. -9 + 9 + 12y = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 12y = -7 + 9 12y = -7 + 9 Combine like terms: -7 + 9 = 2 12y = 2 Divide each side by '12'. y = 0.1666666667 Simplifying y = 0.1666666667
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