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Simplifying 7y + 7 = 9y + -3y + 61 Reorder the terms: 7 + 7y = 9y + -3y + 61 Reorder the terms: 7 + 7y = 61 + 9y + -3y Combine like terms: 9y + -3y = 6y 7 + 7y = 61 + 6y Solving 7 + 7y = 61 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 7 + 7y + -6y = 61 + 6y + -6y Combine like terms: 7y + -6y = 1y 7 + 1y = 61 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + 1y = 61 + 0 7 + 1y = 61 Add '-7' to each side of the equation. 7 + -7 + 1y = 61 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 61 + -7 1y = 61 + -7 Combine like terms: 61 + -7 = 54 1y = 54 Divide each side by '1'. y = 54 Simplifying y = 54
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