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Simplifying -6y + -12 = 5y + 21 Reorder the terms: -12 + -6y = 5y + 21 Reorder the terms: -12 + -6y = 21 + 5y Solving -12 + -6y = 21 + 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. -12 + -6y + -5y = 21 + 5y + -5y Combine like terms: -6y + -5y = -11y -12 + -11y = 21 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + -11y = 21 + 0 -12 + -11y = 21 Add '12' to each side of the equation. -12 + 12 + -11y = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -11y = 21 + 12 -11y = 21 + 12 Combine like terms: 21 + 12 = 33 -11y = 33 Divide each side by '-11'. y = -3 Simplifying y = -3
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