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Simplifying 4(y + 9) = 8 + 3y Reorder the terms: 4(9 + y) = 8 + 3y (9 * 4 + y * 4) = 8 + 3y (36 + 4y) = 8 + 3y Solving 36 + 4y = 8 + 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. 36 + 4y + -3y = 8 + 3y + -3y Combine like terms: 4y + -3y = 1y 36 + 1y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 36 + 1y = 8 + 0 36 + 1y = 8 Add '-36' to each side of the equation. 36 + -36 + 1y = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 1y = 8 + -36 1y = 8 + -36 Combine like terms: 8 + -36 = -28 1y = -28 Divide each side by '1'. y = -28 Simplifying y = -28
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