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Simplifying 3y + -7 + 4y = 9 + 3y + 12 Reorder the terms: -7 + 3y + 4y = 9 + 3y + 12 Combine like terms: 3y + 4y = 7y -7 + 7y = 9 + 3y + 12 Reorder the terms: -7 + 7y = 9 + 12 + 3y Combine like terms: 9 + 12 = 21 -7 + 7y = 21 + 3y Solving -7 + 7y = 21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -7 + 7y + -3y = 21 + 3y + -3y Combine like terms: 7y + -3y = 4y -7 + 4y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 4y = 21 + 0 -7 + 4y = 21 Add '7' to each side of the equation. -7 + 7 + 4y = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 21 + 7 4y = 21 + 7 Combine like terms: 21 + 7 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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