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Simplifying 7(y + 10) + y = (y + 5) + -8 Reorder the terms: 7(10 + y) + y = (y + 5) + -8 (10 * 7 + y * 7) + y = (y + 5) + -8 (70 + 7y) + y = (y + 5) + -8 Combine like terms: 7y + y = 8y 70 + 8y = (y + 5) + -8 Reorder the terms: 70 + 8y = (5 + y) + -8 Remove parenthesis around (5 + y) 70 + 8y = 5 + y + -8 Reorder the terms: 70 + 8y = 5 + -8 + y Combine like terms: 5 + -8 = -3 70 + 8y = -3 + y Solving 70 + 8y = -3 + y 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. 70 + 8y + -1y = -3 + y + -1y Combine like terms: 8y + -1y = 7y 70 + 7y = -3 + y + -1y Combine like terms: y + -1y = 0 70 + 7y = -3 + 0 70 + 7y = -3 Add '-70' to each side of the equation. 70 + -70 + 7y = -3 + -70 Combine like terms: 70 + -70 = 0 0 + 7y = -3 + -70 7y = -3 + -70 Combine like terms: -3 + -70 = -73 7y = -73 Divide each side by '7'. y = -10.42857143 Simplifying y = -10.42857143
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