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Simplifying 6y + -42 = 5y + 20 Reorder the terms: -42 + 6y = 5y + 20 Reorder the terms: -42 + 6y = 20 + 5y Solving -42 + 6y = 20 + 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. -42 + 6y + -5y = 20 + 5y + -5y Combine like terms: 6y + -5y = 1y -42 + 1y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -42 + 1y = 20 + 0 -42 + 1y = 20 Add '42' to each side of the equation. -42 + 42 + 1y = 20 + 42 Combine like terms: -42 + 42 = 0 0 + 1y = 20 + 42 1y = 20 + 42 Combine like terms: 20 + 42 = 62 1y = 62 Divide each side by '1'. y = 62 Simplifying y = 62
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