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Simplifying 32 = 3(y + 4) + -5y Reorder the terms: 32 = 3(4 + y) + -5y 32 = (4 * 3 + y * 3) + -5y 32 = (12 + 3y) + -5y Combine like terms: 3y + -5y = -2y 32 = 12 + -2y Solving 32 = 12 + -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 = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 32 + 2y = 12 + 0 32 + 2y = 12 Add '-32' to each side of the equation. 32 + -32 + 2y = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 12 + -32 2y = 12 + -32 Combine like terms: 12 + -32 = -20 2y = -20 Divide each side by '2'. y = -10 Simplifying y = -10
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