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Simplifying 5y + -276 = 6(2 + -4y) + -3y Reorder the terms: -276 + 5y = 6(2 + -4y) + -3y -276 + 5y = (2 * 6 + -4y * 6) + -3y -276 + 5y = (12 + -24y) + -3y Combine like terms: -24y + -3y = -27y -276 + 5y = 12 + -27y Solving -276 + 5y = 12 + -27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27y' to each side of the equation. -276 + 5y + 27y = 12 + -27y + 27y Combine like terms: 5y + 27y = 32y -276 + 32y = 12 + -27y + 27y Combine like terms: -27y + 27y = 0 -276 + 32y = 12 + 0 -276 + 32y = 12 Add '276' to each side of the equation. -276 + 276 + 32y = 12 + 276 Combine like terms: -276 + 276 = 0 0 + 32y = 12 + 276 32y = 12 + 276 Combine like terms: 12 + 276 = 288 32y = 288 Divide each side by '32'. y = 9 Simplifying y = 9
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