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Simplifying -27 + 6y = -3 + -6(y + -3) Reorder the terms: -27 + 6y = -3 + -6(-3 + y) -27 + 6y = -3 + (-3 * -6 + y * -6) -27 + 6y = -3 + (18 + -6y) Combine like terms: -3 + 18 = 15 -27 + 6y = 15 + -6y Solving -27 + 6y = 15 + -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 + 6y + 6y = 15 + -6y + 6y Combine like terms: 6y + 6y = 12y -27 + 12y = 15 + -6y + 6y Combine like terms: -6y + 6y = 0 -27 + 12y = 15 + 0 -27 + 12y = 15 Add '27' to each side of the equation. -27 + 27 + 12y = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 12y = 15 + 27 12y = 15 + 27 Combine like terms: 15 + 27 = 42 12y = 42 Divide each side by '12'. y = 3.5 Simplifying y = 3.5
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