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Simplifying 32 = 6(y + 3) + -8y Reorder the terms: 32 = 6(3 + y) + -8y 32 = (3 * 6 + y * 6) + -8y 32 = (18 + 6y) + -8y Combine like terms: 6y + -8y = -2y 32 = 18 + -2y Solving 32 = 18 + -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. 32 + 2y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 32 + 2y = 18 + 0 32 + 2y = 18 Add '-32' to each side of the equation. 32 + -32 + 2y = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 18 + -32 2y = 18 + -32 Combine like terms: 18 + -32 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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