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Simplifying -3(y + 6) = 8y + 15 Reorder the terms: -3(6 + y) = 8y + 15 (6 * -3 + y * -3) = 8y + 15 (-18 + -3y) = 8y + 15 Reorder the terms: -18 + -3y = 15 + 8y Solving -18 + -3y = 15 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -18 + -3y + -8y = 15 + 8y + -8y Combine like terms: -3y + -8y = -11y -18 + -11y = 15 + 8y + -8y Combine like terms: 8y + -8y = 0 -18 + -11y = 15 + 0 -18 + -11y = 15 Add '18' to each side of the equation. -18 + 18 + -11y = 15 + 18 Combine like terms: -18 + 18 = 0 0 + -11y = 15 + 18 -11y = 15 + 18 Combine like terms: 15 + 18 = 33 -11y = 33 Divide each side by '-11'. y = -3 Simplifying y = -3
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