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Simplifying 7y + -6 + -3y = 12 + 2y + 6 Reorder the terms: -6 + 7y + -3y = 12 + 2y + 6 Combine like terms: 7y + -3y = 4y -6 + 4y = 12 + 2y + 6 Reorder the terms: -6 + 4y = 12 + 6 + 2y Combine like terms: 12 + 6 = 18 -6 + 4y = 18 + 2y Solving -6 + 4y = 18 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + 4y + -2y = 18 + 2y + -2y Combine like terms: 4y + -2y = 2y -6 + 2y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 2y = 18 + 0 -6 + 2y = 18 Add '6' to each side of the equation. -6 + 6 + 2y = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 18 + 6 2y = 18 + 6 Combine like terms: 18 + 6 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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