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Simplifying -3(6y + -1) + 9y = 3(y + 4) Reorder the terms: -3(-1 + 6y) + 9y = 3(y + 4) (-1 * -3 + 6y * -3) + 9y = 3(y + 4) (3 + -18y) + 9y = 3(y + 4) Combine like terms: -18y + 9y = -9y 3 + -9y = 3(y + 4) Reorder the terms: 3 + -9y = 3(4 + y) 3 + -9y = (4 * 3 + y * 3) 3 + -9y = (12 + 3y) Solving 3 + -9y = 12 + 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. 3 + -9y + -3y = 12 + 3y + -3y Combine like terms: -9y + -3y = -12y 3 + -12y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + -12y = 12 + 0 3 + -12y = 12 Add '-3' to each side of the equation. 3 + -3 + -12y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -12y = 12 + -3 -12y = 12 + -3 Combine like terms: 12 + -3 = 9 -12y = 9 Divide each side by '-12'. y = -0.75 Simplifying y = -0.75
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