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Simplifying -7y + 41 = 3y + 36 + -9y Reorder the terms: 41 + -7y = 3y + 36 + -9y Reorder the terms: 41 + -7y = 36 + 3y + -9y Combine like terms: 3y + -9y = -6y 41 + -7y = 36 + -6y Solving 41 + -7y = 36 + -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. 41 + -7y + 6y = 36 + -6y + 6y Combine like terms: -7y + 6y = -1y 41 + -1y = 36 + -6y + 6y Combine like terms: -6y + 6y = 0 41 + -1y = 36 + 0 41 + -1y = 36 Add '-41' to each side of the equation. 41 + -41 + -1y = 36 + -41 Combine like terms: 41 + -41 = 0 0 + -1y = 36 + -41 -1y = 36 + -41 Combine like terms: 36 + -41 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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