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