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Simplifying 3(y + -4) + 9(y + 1) = 0 Reorder the terms: 3(-4 + y) + 9(y + 1) = 0 (-4 * 3 + y * 3) + 9(y + 1) = 0 (-12 + 3y) + 9(y + 1) = 0 Reorder the terms: -12 + 3y + 9(1 + y) = 0 -12 + 3y + (1 * 9 + y * 9) = 0 -12 + 3y + (9 + 9y) = 0 Reorder the terms: -12 + 9 + 3y + 9y = 0 Combine like terms: -12 + 9 = -3 -3 + 3y + 9y = 0 Combine like terms: 3y + 9y = 12y -3 + 12y = 0 Solving -3 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12y = 0 + 3 12y = 0 + 3 Combine like terms: 0 + 3 = 3 12y = 3 Divide each side by '12'. y = 0.25 Simplifying y = 0.25
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