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Simplifying 32 = 6 + 3(y + 4) Reorder the terms: 32 = 6 + 3(4 + y) 32 = 6 + (4 * 3 + y * 3) 32 = 6 + (12 + 3y) Combine like terms: 6 + 12 = 18 32 = 18 + 3y Solving 32 = 18 + 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. 32 + -3y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 32 + -3y = 18 + 0 32 + -3y = 18 Add '-32' to each side of the equation. 32 + -32 + -3y = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -3y = 18 + -32 -3y = 18 + -32 Combine like terms: 18 + -32 = -14 -3y = -14 Divide each side by '-3'. y = 4.666666667 Simplifying y = 4.666666667
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