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Simplifying 6y + -3 = 11y + 42 Reorder the terms: -3 + 6y = 11y + 42 Reorder the terms: -3 + 6y = 42 + 11y Solving -3 + 6y = 42 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -3 + 6y + -11y = 42 + 11y + -11y Combine like terms: 6y + -11y = -5y -3 + -5y = 42 + 11y + -11y Combine like terms: 11y + -11y = 0 -3 + -5y = 42 + 0 -3 + -5y = 42 Add '3' to each side of the equation. -3 + 3 + -5y = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -5y = 42 + 3 -5y = 42 + 3 Combine like terms: 42 + 3 = 45 -5y = 45 Divide each side by '-5'. y = -9 Simplifying y = -9
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