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Simplifying -6y + -41 = 5(y + -6) Reorder the terms: -41 + -6y = 5(y + -6) Reorder the terms: -41 + -6y = 5(-6 + y) -41 + -6y = (-6 * 5 + y * 5) -41 + -6y = (-30 + 5y) Solving -41 + -6y = -30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -41 + -6y + -5y = -30 + 5y + -5y Combine like terms: -6y + -5y = -11y -41 + -11y = -30 + 5y + -5y Combine like terms: 5y + -5y = 0 -41 + -11y = -30 + 0 -41 + -11y = -30 Add '41' to each side of the equation. -41 + 41 + -11y = -30 + 41 Combine like terms: -41 + 41 = 0 0 + -11y = -30 + 41 -11y = -30 + 41 Combine like terms: -30 + 41 = 11 -11y = 11 Divide each side by '-11'. y = -1 Simplifying y = -1
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