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Simplifying 4y + -6 + y + 36 = 8y + 30 + -6y Reorder the terms: -6 + 36 + 4y + y = 8y + 30 + -6y Combine like terms: -6 + 36 = 30 30 + 4y + y = 8y + 30 + -6y Combine like terms: 4y + y = 5y 30 + 5y = 8y + 30 + -6y Reorder the terms: 30 + 5y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 30 + 5y = 30 + 2y Add '-30' to each side of the equation. 30 + -30 + 5y = 30 + -30 + 2y Combine like terms: 30 + -30 = 0 0 + 5y = 30 + -30 + 2y 5y = 30 + -30 + 2y Combine like terms: 30 + -30 = 0 5y = 0 + 2y 5y = 2y Solving 5y = 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. 5y + -2y = 2y + -2y Combine like terms: 5y + -2y = 3y 3y = 2y + -2y Combine like terms: 2y + -2y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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