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Simplifying 6y + 12 = -6(y + 8) Reorder the terms: 12 + 6y = -6(y + 8) Reorder the terms: 12 + 6y = -6(8 + y) 12 + 6y = (8 * -6 + y * -6) 12 + 6y = (-48 + -6y) Solving 12 + 6y = -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. 12 + 6y + 6y = -48 + -6y + 6y Combine like terms: 6y + 6y = 12y 12 + 12y = -48 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 12y = -48 + 0 12 + 12y = -48 Add '-12' to each side of the equation. 12 + -12 + 12y = -48 + -12 Combine like terms: 12 + -12 = 0 0 + 12y = -48 + -12 12y = -48 + -12 Combine like terms: -48 + -12 = -60 12y = -60 Divide each side by '12'. y = -5 Simplifying y = -5
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