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Simplifying 4(3y + 9) = 9 + -3(y + -9) Reorder the terms: 4(9 + 3y) = 9 + -3(y + -9) (9 * 4 + 3y * 4) = 9 + -3(y + -9) (36 + 12y) = 9 + -3(y + -9) Reorder the terms: 36 + 12y = 9 + -3(-9 + y) 36 + 12y = 9 + (-9 * -3 + y * -3) 36 + 12y = 9 + (27 + -3y) Combine like terms: 9 + 27 = 36 36 + 12y = 36 + -3y Add '-36' to each side of the equation. 36 + -36 + 12y = 36 + -36 + -3y Combine like terms: 36 + -36 = 0 0 + 12y = 36 + -36 + -3y 12y = 36 + -36 + -3y Combine like terms: 36 + -36 = 0 12y = 0 + -3y 12y = -3y Solving 12y = -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. 12y + 3y = -3y + 3y Combine like terms: 12y + 3y = 15y 15y = -3y + 3y Combine like terms: -3y + 3y = 0 15y = 0 Divide each side by '15'. y = 0 Simplifying y = 0
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