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Simplifying 3y + 12y + 6 = 7y + 30 Reorder the terms: 6 + 3y + 12y = 7y + 30 Combine like terms: 3y + 12y = 15y 6 + 15y = 7y + 30 Reorder the terms: 6 + 15y = 30 + 7y Solving 6 + 15y = 30 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 6 + 15y + -7y = 30 + 7y + -7y Combine like terms: 15y + -7y = 8y 6 + 8y = 30 + 7y + -7y Combine like terms: 7y + -7y = 0 6 + 8y = 30 + 0 6 + 8y = 30 Add '-6' to each side of the equation. 6 + -6 + 8y = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 8y = 30 + -6 8y = 30 + -6 Combine like terms: 30 + -6 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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