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Simplifying (3y + -4) + 2y + (2y + 12) = x + 2(6) Reorder the terms: (-4 + 3y) + 2y + (2y + 12) = x + 2(6) Remove parenthesis around (-4 + 3y) -4 + 3y + 2y + (2y + 12) = x + 2(6) Reorder the terms: -4 + 3y + 2y + (12 + 2y) = x + 2(6) Remove parenthesis around (12 + 2y) -4 + 3y + 2y + 12 + 2y = x + 2(6) Reorder the terms: -4 + 12 + 3y + 2y + 2y = x + 2(6) Combine like terms: -4 + 12 = 8 8 + 3y + 2y + 2y = x + 2(6) Combine like terms: 3y + 2y = 5y 8 + 5y + 2y = x + 2(6) Combine like terms: 5y + 2y = 7y 8 + 7y = x + 2(6) Multiply 2 * 6 8 + 7y = x + 12 Reorder the terms: 8 + 7y = 12 + x Solving 8 + 7y = 12 + x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7y = 12 + -8 + x Combine like terms: 8 + -8 = 0 0 + 7y = 12 + -8 + x 7y = 12 + -8 + x Combine like terms: 12 + -8 = 4 7y = 4 + x Divide each side by '7'. y = 0.5714285714 + 0.1428571429x Simplifying y = 0.5714285714 + 0.1428571429x
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