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Simplifying 6y + -7 = 41 + -2y Reorder the terms: -7 + 6y = 41 + -2y Solving -7 + 6y = 41 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -7 + 6y + 2y = 41 + -2y + 2y Combine like terms: 6y + 2y = 8y -7 + 8y = 41 + -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 8y = 41 + 0 -7 + 8y = 41 Add '7' to each side of the equation. -7 + 7 + 8y = 41 + 7 Combine like terms: -7 + 7 = 0 0 + 8y = 41 + 7 8y = 41 + 7 Combine like terms: 41 + 7 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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