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