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Simplifying 6(y + 9) = 7y + 52 Reorder the terms: 6(9 + y) = 7y + 52 (9 * 6 + y * 6) = 7y + 52 (54 + 6y) = 7y + 52 Reorder the terms: 54 + 6y = 52 + 7y Solving 54 + 6y = 52 + 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. 54 + 6y + -7y = 52 + 7y + -7y Combine like terms: 6y + -7y = -1y 54 + -1y = 52 + 7y + -7y Combine like terms: 7y + -7y = 0 54 + -1y = 52 + 0 54 + -1y = 52 Add '-54' to each side of the equation. 54 + -54 + -1y = 52 + -54 Combine like terms: 54 + -54 = 0 0 + -1y = 52 + -54 -1y = 52 + -54 Combine like terms: 52 + -54 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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