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Simplifying 5y + y + 22 = 8y + 30 + -6y Reorder the terms: 22 + 5y + y = 8y + 30 + -6y Combine like terms: 5y + y = 6y 22 + 6y = 8y + 30 + -6y Reorder the terms: 22 + 6y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 22 + 6y = 30 + 2y Solving 22 + 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. 22 + 6y + -2y = 30 + 2y + -2y Combine like terms: 6y + -2y = 4y 22 + 4y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 22 + 4y = 30 + 0 22 + 4y = 30 Add '-22' to each side of the equation. 22 + -22 + 4y = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 4y = 30 + -22 4y = 30 + -22 Combine like terms: 30 + -22 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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