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Simplifying 9y + 32 = 4(y + 3) Reorder the terms: 32 + 9y = 4(y + 3) Reorder the terms: 32 + 9y = 4(3 + y) 32 + 9y = (3 * 4 + y * 4) 32 + 9y = (12 + 4y) Solving 32 + 9y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 32 + 9y + -4y = 12 + 4y + -4y Combine like terms: 9y + -4y = 5y 32 + 5y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + 5y = 12 + 0 32 + 5y = 12 Add '-32' to each side of the equation. 32 + -32 + 5y = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 5y = 12 + -32 5y = 12 + -32 Combine like terms: 12 + -32 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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