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Simplifying 2y + 5 = -7y + 32 Reorder the terms: 5 + 2y = -7y + 32 Reorder the terms: 5 + 2y = 32 + -7y Solving 5 + 2y = 32 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 5 + 2y + 7y = 32 + -7y + 7y Combine like terms: 2y + 7y = 9y 5 + 9y = 32 + -7y + 7y Combine like terms: -7y + 7y = 0 5 + 9y = 32 + 0 5 + 9y = 32 Add '-5' to each side of the equation. 5 + -5 + 9y = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 9y = 32 + -5 9y = 32 + -5 Combine like terms: 32 + -5 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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