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Simplifying 5y + -2 + y + 20 = 8y + 30 + -6y Reorder the terms: -2 + 20 + 5y + y = 8y + 30 + -6y Combine like terms: -2 + 20 = 18 18 + 5y + y = 8y + 30 + -6y Combine like terms: 5y + y = 6y 18 + 6y = 8y + 30 + -6y Reorder the terms: 18 + 6y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 18 + 6y = 30 + 2y Solving 18 + 6y = 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 + 6y + -2y = 30 + 2y + -2y Combine like terms: 6y + -2y = 4y 18 + 4y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 4y = 30 + 0 18 + 4y = 30 Add '-18' to each side of the equation. 18 + -18 + 4y = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 4y = 30 + -18 4y = 30 + -18 Combine like terms: 30 + -18 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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