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Simplifying -5y + -12 = 6y + 21 Reorder the terms: -12 + -5y = 6y + 21 Reorder the terms: -12 + -5y = 21 + 6y Solving -12 + -5y = 21 + 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. -12 + -5y + -6y = 21 + 6y + -6y Combine like terms: -5y + -6y = -11y -12 + -11y = 21 + 6y + -6y Combine like terms: 6y + -6y = 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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