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Simplifying 5y + -6 + y + 38 = 7y + 40 + -5y Reorder the terms: -6 + 38 + 5y + y = 7y + 40 + -5y Combine like terms: -6 + 38 = 32 32 + 5y + y = 7y + 40 + -5y Combine like terms: 5y + y = 6y 32 + 6y = 7y + 40 + -5y Reorder the terms: 32 + 6y = 40 + 7y + -5y Combine like terms: 7y + -5y = 2y 32 + 6y = 40 + 2y Solving 32 + 6y = 40 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 32 + 6y + -2y = 40 + 2y + -2y Combine like terms: 6y + -2y = 4y 32 + 4y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + 4y = 40 + 0 32 + 4y = 40 Add '-32' to each side of the equation. 32 + -32 + 4y = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 4y = 40 + -32 4y = 40 + -32 Combine like terms: 40 + -32 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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