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Simplifying 5y + 32 = -7y + 56 Reorder the terms: 32 + 5y = -7y + 56 Reorder the terms: 32 + 5y = 56 + -7y Solving 32 + 5y = 56 + -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. 32 + 5y + 7y = 56 + -7y + 7y Combine like terms: 5y + 7y = 12y 32 + 12y = 56 + -7y + 7y Combine like terms: -7y + 7y = 0 32 + 12y = 56 + 0 32 + 12y = 56 Add '-32' to each side of the equation. 32 + -32 + 12y = 56 + -32 Combine like terms: 32 + -32 = 0 0 + 12y = 56 + -32 12y = 56 + -32 Combine like terms: 56 + -32 = 24 12y = 24 Divide each side by '12'. y = 2 Simplifying y = 2
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