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Simplifying 10y + 12 = 3y + 54 Reorder the terms: 12 + 10y = 3y + 54 Reorder the terms: 12 + 10y = 54 + 3y Solving 12 + 10y = 54 + 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. 12 + 10y + -3y = 54 + 3y + -3y Combine like terms: 10y + -3y = 7y 12 + 7y = 54 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 7y = 54 + 0 12 + 7y = 54 Add '-12' to each side of the equation. 12 + -12 + 7y = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 7y = 54 + -12 7y = 54 + -12 Combine like terms: 54 + -12 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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