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Simplifying 5y + -10 + y + 36 = 8y + 30 + -6y Reorder the terms: -10 + 36 + 5y + y = 8y + 30 + -6y Combine like terms: -10 + 36 = 26 26 + 5y + y = 8y + 30 + -6y Combine like terms: 5y + y = 6y 26 + 6y = 8y + 30 + -6y Reorder the terms: 26 + 6y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 26 + 6y = 30 + 2y Solving 26 + 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. 26 + 6y + -2y = 30 + 2y + -2y Combine like terms: 6y + -2y = 4y 26 + 4y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 26 + 4y = 30 + 0 26 + 4y = 30 Add '-26' to each side of the equation. 26 + -26 + 4y = 30 + -26 Combine like terms: 26 + -26 = 0 0 + 4y = 30 + -26 4y = 30 + -26 Combine like terms: 30 + -26 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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