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Simplifying 5y + -5 + y + 41 = 8 + 7y + 32 + 3y Reorder the terms: -5 + 41 + 5y + y = 8 + 7y + 32 + 3y Combine like terms: -5 + 41 = 36 36 + 5y + y = 8 + 7y + 32 + 3y Combine like terms: 5y + y = 6y 36 + 6y = 8 + 7y + 32 + 3y Reorder the terms: 36 + 6y = 8 + 32 + 7y + 3y Combine like terms: 8 + 32 = 40 36 + 6y = 40 + 7y + 3y Combine like terms: 7y + 3y = 10y 36 + 6y = 40 + 10y Solving 36 + 6y = 40 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 36 + 6y + -10y = 40 + 10y + -10y Combine like terms: 6y + -10y = -4y 36 + -4y = 40 + 10y + -10y Combine like terms: 10y + -10y = 0 36 + -4y = 40 + 0 36 + -4y = 40 Add '-36' to each side of the equation. 36 + -36 + -4y = 40 + -36 Combine like terms: 36 + -36 = 0 0 + -4y = 40 + -36 -4y = 40 + -36 Combine like terms: 40 + -36 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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