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Simplifying 4y + 12 + -6y + -8 = 3y + 9 + -7y Reorder the terms: 12 + -8 + 4y + -6y = 3y + 9 + -7y Combine like terms: 12 + -8 = 4 4 + 4y + -6y = 3y + 9 + -7y Combine like terms: 4y + -6y = -2y 4 + -2y = 3y + 9 + -7y Reorder the terms: 4 + -2y = 9 + 3y + -7y Combine like terms: 3y + -7y = -4y 4 + -2y = 9 + -4y Solving 4 + -2y = 9 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 4 + -2y + 4y = 9 + -4y + 4y Combine like terms: -2y + 4y = 2y 4 + 2y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + 2y = 9 + 0 4 + 2y = 9 Add '-4' to each side of the equation. 4 + -4 + 2y = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = 9 + -4 2y = 9 + -4 Combine like terms: 9 + -4 = 5 2y = 5 Divide each side by '2'. y = 2.5 Simplifying y = 2.5
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