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Simplifying 3y + -27 = 6(y + -8) Reorder the terms: -27 + 3y = 6(y + -8) Reorder the terms: -27 + 3y = 6(-8 + y) -27 + 3y = (-8 * 6 + y * 6) -27 + 3y = (-48 + 6y) Solving -27 + 3y = -48 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -27 + 3y + -6y = -48 + 6y + -6y Combine like terms: 3y + -6y = -3y -27 + -3y = -48 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + -3y = -48 + 0 -27 + -3y = -48 Add '27' to each side of the equation. -27 + 27 + -3y = -48 + 27 Combine like terms: -27 + 27 = 0 0 + -3y = -48 + 27 -3y = -48 + 27 Combine like terms: -48 + 27 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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