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Simplifying 2y + 18 = 12 + -7(y + 6) Reorder the terms: 18 + 2y = 12 + -7(y + 6) Reorder the terms: 18 + 2y = 12 + -7(6 + y) 18 + 2y = 12 + (6 * -7 + y * -7) 18 + 2y = 12 + (-42 + -7y) Combine like terms: 12 + -42 = -30 18 + 2y = -30 + -7y Solving 18 + 2y = -30 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 18 + 2y + 7y = -30 + -7y + 7y Combine like terms: 2y + 7y = 9y 18 + 9y = -30 + -7y + 7y Combine like terms: -7y + 7y = 0 18 + 9y = -30 + 0 18 + 9y = -30 Add '-18' to each side of the equation. 18 + -18 + 9y = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 9y = -30 + -18 9y = -30 + -18 Combine like terms: -30 + -18 = -48 9y = -48 Divide each side by '9'. y = -5.333333333 Simplifying y = -5.333333333
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