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Simplifying 3y + -6(11y + 8) = 519 Reorder the terms: 3y + -6(8 + 11y) = 519 3y + (8 * -6 + 11y * -6) = 519 3y + (-48 + -66y) = 519 Reorder the terms: -48 + 3y + -66y = 519 Combine like terms: 3y + -66y = -63y -48 + -63y = 519 Solving -48 + -63y = 519 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -63y = 519 + 48 Combine like terms: -48 + 48 = 0 0 + -63y = 519 + 48 -63y = 519 + 48 Combine like terms: 519 + 48 = 567 -63y = 567 Divide each side by '-63'. y = -9 Simplifying y = -9
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