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Simplifying 6y + 16 = -6(y + 1) Reorder the terms: 16 + 6y = -6(y + 1) Reorder the terms: 16 + 6y = -6(1 + y) 16 + 6y = (1 * -6 + y * -6) 16 + 6y = (-6 + -6y) Solving 16 + 6y = -6 + -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. 16 + 6y + 6y = -6 + -6y + 6y Combine like terms: 6y + 6y = 12y 16 + 12y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 16 + 12y = -6 + 0 16 + 12y = -6 Add '-16' to each side of the equation. 16 + -16 + 12y = -6 + -16 Combine like terms: 16 + -16 = 0 0 + 12y = -6 + -16 12y = -6 + -16 Combine like terms: -6 + -16 = -22 12y = -22 Divide each side by '12'. y = -1.833333333 Simplifying y = -1.833333333
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