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Simplifying 6(y + 5) = 9y + 9 Reorder the terms: 6(5 + y) = 9y + 9 (5 * 6 + y * 6) = 9y + 9 (30 + 6y) = 9y + 9 Reorder the terms: 30 + 6y = 9 + 9y Solving 30 + 6y = 9 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 30 + 6y + -9y = 9 + 9y + -9y Combine like terms: 6y + -9y = -3y 30 + -3y = 9 + 9y + -9y Combine like terms: 9y + -9y = 0 30 + -3y = 9 + 0 30 + -3y = 9 Add '-30' to each side of the equation. 30 + -30 + -3y = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -3y = 9 + -30 -3y = 9 + -30 Combine like terms: 9 + -30 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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