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Simplifying 8y + 2 = 2(y + 5) + -1y Reorder the terms: 2 + 8y = 2(y + 5) + -1y Reorder the terms: 2 + 8y = 2(5 + y) + -1y 2 + 8y = (5 * 2 + y * 2) + -1y 2 + 8y = (10 + 2y) + -1y Combine like terms: 2y + -1y = 1y 2 + 8y = 10 + 1y Solving 2 + 8y = 10 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 2 + 8y + -1y = 10 + 1y + -1y Combine like terms: 8y + -1y = 7y 2 + 7y = 10 + 1y + -1y Combine like terms: 1y + -1y = 0 2 + 7y = 10 + 0 2 + 7y = 10 Add '-2' to each side of the equation. 2 + -2 + 7y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 10 + -2 7y = 10 + -2 Combine like terms: 10 + -2 = 8 7y = 8 Divide each side by '7'. y = 1.142857143 Simplifying y = 1.142857143
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