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Simplifying -3(y + 2) = 9(y + 4) + -3 Reorder the terms: -3(2 + y) = 9(y + 4) + -3 (2 * -3 + y * -3) = 9(y + 4) + -3 (-6 + -3y) = 9(y + 4) + -3 Reorder the terms: -6 + -3y = 9(4 + y) + -3 -6 + -3y = (4 * 9 + y * 9) + -3 -6 + -3y = (36 + 9y) + -3 Reorder the terms: -6 + -3y = 36 + -3 + 9y Combine like terms: 36 + -3 = 33 -6 + -3y = 33 + 9y Solving -6 + -3y = 33 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -6 + -3y + -9y = 33 + 9y + -9y Combine like terms: -3y + -9y = -12y -6 + -12y = 33 + 9y + -9y Combine like terms: 9y + -9y = 0 -6 + -12y = 33 + 0 -6 + -12y = 33 Add '6' to each side of the equation. -6 + 6 + -12y = 33 + 6 Combine like terms: -6 + 6 = 0 0 + -12y = 33 + 6 -12y = 33 + 6 Combine like terms: 33 + 6 = 39 -12y = 39 Divide each side by '-12'. y = -3.25 Simplifying y = -3.25
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