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Simplifying 7y + 42 = 2y + 62 Reorder the terms: 42 + 7y = 2y + 62 Reorder the terms: 42 + 7y = 62 + 2y Solving 42 + 7y = 62 + 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. 42 + 7y + -2y = 62 + 2y + -2y Combine like terms: 7y + -2y = 5y 42 + 5y = 62 + 2y + -2y Combine like terms: 2y + -2y = 0 42 + 5y = 62 + 0 42 + 5y = 62 Add '-42' to each side of the equation. 42 + -42 + 5y = 62 + -42 Combine like terms: 42 + -42 = 0 0 + 5y = 62 + -42 5y = 62 + -42 Combine like terms: 62 + -42 = 20 5y = 20 Divide each side by '5'. y = 4 Simplifying y = 4
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