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Simplifying 10y + 9 + -2y = 4y + 3y + 12 Reorder the terms: 9 + 10y + -2y = 4y + 3y + 12 Combine like terms: 10y + -2y = 8y 9 + 8y = 4y + 3y + 12 Reorder the terms: 9 + 8y = 12 + 4y + 3y Combine like terms: 4y + 3y = 7y 9 + 8y = 12 + 7y Solving 9 + 8y = 12 + 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. 9 + 8y + -7y = 12 + 7y + -7y Combine like terms: 8y + -7y = 1y 9 + 1y = 12 + 7y + -7y Combine like terms: 7y + -7y = 0 9 + 1y = 12 + 0 9 + 1y = 12 Add '-9' to each side of the equation. 9 + -9 + 1y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 12 + -9 1y = 12 + -9 Combine like terms: 12 + -9 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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