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Simplifying 4y + 8 = 5y + -2 Reorder the terms: 8 + 4y = 5y + -2 Reorder the terms: 8 + 4y = -2 + 5y Solving 8 + 4y = -2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 8 + 4y + -5y = -2 + 5y + -5y Combine like terms: 4y + -5y = -1y 8 + -1y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -1y = -2 + 0 8 + -1y = -2 Add '-8' to each side of the equation. 8 + -8 + -1y = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -2 + -8 -1y = -2 + -8 Combine like terms: -2 + -8 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10
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