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Simplifying 7y + 32 = 12 + -1y Reorder the terms: 32 + 7y = 12 + -1y Solving 32 + 7y = 12 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 32 + 7y + y = 12 + -1y + y Combine like terms: 7y + y = 8y 32 + 8y = 12 + -1y + y Combine like terms: -1y + y = 0 32 + 8y = 12 + 0 32 + 8y = 12 Add '-32' to each side of the equation. 32 + -32 + 8y = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 8y = 12 + -32 8y = 12 + -32 Combine like terms: 12 + -32 = -20 8y = -20 Divide each side by '8'. y = -2.5 Simplifying y = -2.5
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