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Simplifying -47 + 13y + 5 = 6y + 32 Reorder the terms: -47 + 5 + 13y = 6y + 32 Combine like terms: -47 + 5 = -42 -42 + 13y = 6y + 32 Reorder the terms: -42 + 13y = 32 + 6y Solving -42 + 13y = 32 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -42 + 13y + -6y = 32 + 6y + -6y Combine like terms: 13y + -6y = 7y -42 + 7y = 32 + 6y + -6y Combine like terms: 6y + -6y = 0 -42 + 7y = 32 + 0 -42 + 7y = 32 Add '42' to each side of the equation. -42 + 42 + 7y = 32 + 42 Combine like terms: -42 + 42 = 0 0 + 7y = 32 + 42 7y = 32 + 42 Combine like terms: 32 + 42 = 74 7y = 74 Divide each side by '7'. y = 10.57142857 Simplifying y = 10.57142857
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