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Simplifying 8y + 5 + -3y = 4 + 4y + 6 Reorder the terms: 5 + 8y + -3y = 4 + 4y + 6 Combine like terms: 8y + -3y = 5y 5 + 5y = 4 + 4y + 6 Reorder the terms: 5 + 5y = 4 + 6 + 4y Combine like terms: 4 + 6 = 10 5 + 5y = 10 + 4y Solving 5 + 5y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 5 + 5y + -4y = 10 + 4y + -4y Combine like terms: 5y + -4y = 1y 5 + 1y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + 1y = 10 + 0 5 + 1y = 10 Add '-5' to each side of the equation. 5 + -5 + 1y = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 10 + -5 1y = 10 + -5 Combine like terms: 10 + -5 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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