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Simplifying 5y + 19 = 61 + -2y Reorder the terms: 19 + 5y = 61 + -2y Solving 19 + 5y = 61 + -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. 19 + 5y + 2y = 61 + -2y + 2y Combine like terms: 5y + 2y = 7y 19 + 7y = 61 + -2y + 2y Combine like terms: -2y + 2y = 0 19 + 7y = 61 + 0 19 + 7y = 61 Add '-19' to each side of the equation. 19 + -19 + 7y = 61 + -19 Combine like terms: 19 + -19 = 0 0 + 7y = 61 + -19 7y = 61 + -19 Combine like terms: 61 + -19 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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