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Simplifying 5(y + 6) = 6(y + 3) Reorder the terms: 5(6 + y) = 6(y + 3) (6 * 5 + y * 5) = 6(y + 3) (30 + 5y) = 6(y + 3) Reorder the terms: 30 + 5y = 6(3 + y) 30 + 5y = (3 * 6 + y * 6) 30 + 5y = (18 + 6y) Solving 30 + 5y = 18 + 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. 30 + 5y + -6y = 18 + 6y + -6y Combine like terms: 5y + -6y = -1y 30 + -1y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + -1y = 18 + 0 30 + -1y = 18 Add '-30' to each side of the equation. 30 + -30 + -1y = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 18 + -30 -1y = 18 + -30 Combine like terms: 18 + -30 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12
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