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Simplifying 5y + -6 + 24 = 5y + 30 + -3y Reorder the terms: -6 + 24 + 5y = 5y + 30 + -3y Combine like terms: -6 + 24 = 18 18 + 5y = 5y + 30 + -3y Reorder the terms: 18 + 5y = 30 + 5y + -3y Combine like terms: 5y + -3y = 2y 18 + 5y = 30 + 2y Solving 18 + 5y = 30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 18 + 5y + -2y = 30 + 2y + -2y Combine like terms: 5y + -2y = 3y 18 + 3y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 3y = 30 + 0 18 + 3y = 30 Add '-18' to each side of the equation. 18 + -18 + 3y = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 3y = 30 + -18 3y = 30 + -18 Combine like terms: 30 + -18 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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