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Simplifying 2 + -7y + 4 = 3y + 12 + -7y Reorder the terms: 2 + 4 + -7y = 3y + 12 + -7y Combine like terms: 2 + 4 = 6 6 + -7y = 3y + 12 + -7y Reorder the terms: 6 + -7y = 12 + 3y + -7y Combine like terms: 3y + -7y = -4y 6 + -7y = 12 + -4y Solving 6 + -7y = 12 + -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. 6 + -7y + 4y = 12 + -4y + 4y Combine like terms: -7y + 4y = -3y 6 + -3y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + -3y = 12 + 0 6 + -3y = 12 Add '-6' to each side of the equation. 6 + -6 + -3y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3y = 12 + -6 -3y = 12 + -6 Combine like terms: 12 + -6 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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