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Simplifying 32 = 8(3y + 2) Reorder the terms: 32 = 8(2 + 3y) 32 = (2 * 8 + 3y * 8) 32 = (16 + 24y) Solving 32 = 16 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 32 + -24y = 16 + 24y + -24y Combine like terms: 24y + -24y = 0 32 + -24y = 16 + 0 32 + -24y = 16 Add '-32' to each side of the equation. 32 + -32 + -24y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -24y = 16 + -32 -24y = 16 + -32 Combine like terms: 16 + -32 = -16 -24y = -16 Divide each side by '-24'. y = 0.6666666667 Simplifying y = 0.6666666667
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