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Simplifying 3(y + -7) = 27 + -8y Reorder the terms: 3(-7 + y) = 27 + -8y (-7 * 3 + y * 3) = 27 + -8y (-21 + 3y) = 27 + -8y Solving -21 + 3y = 27 + -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. -21 + 3y + 8y = 27 + -8y + 8y Combine like terms: 3y + 8y = 11y -21 + 11y = 27 + -8y + 8y Combine like terms: -8y + 8y = 0 -21 + 11y = 27 + 0 -21 + 11y = 27 Add '21' to each side of the equation. -21 + 21 + 11y = 27 + 21 Combine like terms: -21 + 21 = 0 0 + 11y = 27 + 21 11y = 27 + 21 Combine like terms: 27 + 21 = 48 11y = 48 Divide each side by '11'. y = 4.363636364 Simplifying y = 4.363636364
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