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Simplifying 2y + 18 = 12 + -6(6y + 7) Reorder the terms: 18 + 2y = 12 + -6(6y + 7) Reorder the terms: 18 + 2y = 12 + -6(7 + 6y) 18 + 2y = 12 + (7 * -6 + 6y * -6) 18 + 2y = 12 + (-42 + -36y) Combine like terms: 12 + -42 = -30 18 + 2y = -30 + -36y Solving 18 + 2y = -30 + -36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36y' to each side of the equation. 18 + 2y + 36y = -30 + -36y + 36y Combine like terms: 2y + 36y = 38y 18 + 38y = -30 + -36y + 36y Combine like terms: -36y + 36y = 0 18 + 38y = -30 + 0 18 + 38y = -30 Add '-18' to each side of the equation. 18 + -18 + 38y = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 38y = -30 + -18 38y = -30 + -18 Combine like terms: -30 + -18 = -48 38y = -48 Divide each side by '38'. y = -1.263157895 Simplifying y = -1.263157895
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