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Simplifying 4(3y + 9) = 18 + -2(y + -9) Reorder the terms: 4(9 + 3y) = 18 + -2(y + -9) (9 * 4 + 3y * 4) = 18 + -2(y + -9) (36 + 12y) = 18 + -2(y + -9) Reorder the terms: 36 + 12y = 18 + -2(-9 + y) 36 + 12y = 18 + (-9 * -2 + y * -2) 36 + 12y = 18 + (18 + -2y) Combine like terms: 18 + 18 = 36 36 + 12y = 36 + -2y Add '-36' to each side of the equation. 36 + -36 + 12y = 36 + -36 + -2y Combine like terms: 36 + -36 = 0 0 + 12y = 36 + -36 + -2y 12y = 36 + -36 + -2y Combine like terms: 36 + -36 = 0 12y = 0 + -2y 12y = -2y Solving 12y = -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12y + 2y = -2y + 2y Combine like terms: 12y + 2y = 14y 14y = -2y + 2y Combine like terms: -2y + 2y = 0 14y = 0 Divide each side by '14'. y = 0 Simplifying y = 0
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