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Simplifying y + -9 + 2(4y + 4) = -3(y + 3) Reorder the terms: y + -9 + 2(4 + 4y) = -3(y + 3) y + -9 + (4 * 2 + 4y * 2) = -3(y + 3) y + -9 + (8 + 8y) = -3(y + 3) Reorder the terms: -9 + 8 + y + 8y = -3(y + 3) Combine like terms: -9 + 8 = -1 -1 + y + 8y = -3(y + 3) Combine like terms: y + 8y = 9y -1 + 9y = -3(y + 3) Reorder the terms: -1 + 9y = -3(3 + y) -1 + 9y = (3 * -3 + y * -3) -1 + 9y = (-9 + -3y) Solving -1 + 9y = -9 + -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. -1 + 9y + 3y = -9 + -3y + 3y Combine like terms: 9y + 3y = 12y -1 + 12y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 12y = -9 + 0 -1 + 12y = -9 Add '1' to each side of the equation. -1 + 1 + 12y = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 12y = -9 + 1 12y = -9 + 1 Combine like terms: -9 + 1 = -8 12y = -8 Divide each side by '12'. y = -0.6666666667 Simplifying y = -0.6666666667
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