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Simplifying -2y + 41 = 6y + -7 Reorder the terms: 41 + -2y = 6y + -7 Reorder the terms: 41 + -2y = -7 + 6y Solving 41 + -2y = -7 + 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 + -2y + -6y = -7 + 6y + -6y Combine like terms: -2y + -6y = -8y 41 + -8y = -7 + 6y + -6y Combine like terms: 6y + -6y = 0 41 + -8y = -7 + 0 41 + -8y = -7 Add '-41' to each side of the equation. 41 + -41 + -8y = -7 + -41 Combine like terms: 41 + -41 = 0 0 + -8y = -7 + -41 -8y = -7 + -41 Combine like terms: -7 + -41 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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