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Simplifying 6y + 41 = 12y + 11 Reorder the terms: 41 + 6y = 12y + 11 Reorder the terms: 41 + 6y = 11 + 12y Solving 41 + 6y = 11 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 41 + 6y + -12y = 11 + 12y + -12y Combine like terms: 6y + -12y = -6y 41 + -6y = 11 + 12y + -12y Combine like terms: 12y + -12y = 0 41 + -6y = 11 + 0 41 + -6y = 11 Add '-41' to each side of the equation. 41 + -41 + -6y = 11 + -41 Combine like terms: 41 + -41 = 0 0 + -6y = 11 + -41 -6y = 11 + -41 Combine like terms: 11 + -41 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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