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Simplifying 4y + -1 + y = 41 + 3y + -4y Reorder the terms: -1 + 4y + y = 41 + 3y + -4y Combine like terms: 4y + y = 5y -1 + 5y = 41 + 3y + -4y Combine like terms: 3y + -4y = -1y -1 + 5y = 41 + -1y Solving -1 + 5y = 41 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -1 + 5y + y = 41 + -1y + y Combine like terms: 5y + y = 6y -1 + 6y = 41 + -1y + y Combine like terms: -1y + y = 0 -1 + 6y = 41 + 0 -1 + 6y = 41 Add '1' to each side of the equation. -1 + 1 + 6y = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 6y = 41 + 1 6y = 41 + 1 Combine like terms: 41 + 1 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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