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Simplifying 6y + -12 = -5(y + 9) Reorder the terms: -12 + 6y = -5(y + 9) Reorder the terms: -12 + 6y = -5(9 + y) -12 + 6y = (9 * -5 + y * -5) -12 + 6y = (-45 + -5y) Solving -12 + 6y = -45 + -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 = -45 + -5y + 5y Combine like terms: 6y + 5y = 11y -12 + 11y = -45 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 11y = -45 + 0 -12 + 11y = -45 Add '12' to each side of the equation. -12 + 12 + 11y = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 11y = -45 + 12 11y = -45 + 12 Combine like terms: -45 + 12 = -33 11y = -33 Divide each side by '11'. y = -3 Simplifying y = -3
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