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Simplifying 8(y + 10) + y = 2(y + 4) + -8 Reorder the terms: 8(10 + y) + y = 2(y + 4) + -8 (10 * 8 + y * 8) + y = 2(y + 4) + -8 (80 + 8y) + y = 2(y + 4) + -8 Combine like terms: 8y + y = 9y 80 + 9y = 2(y + 4) + -8 Reorder the terms: 80 + 9y = 2(4 + y) + -8 80 + 9y = (4 * 2 + y * 2) + -8 80 + 9y = (8 + 2y) + -8 Reorder the terms: 80 + 9y = 8 + -8 + 2y Combine like terms: 8 + -8 = 0 80 + 9y = 0 + 2y 80 + 9y = 2y Solving 80 + 9y = 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. 80 + 9y + -2y = 2y + -2y Combine like terms: 9y + -2y = 7y 80 + 7y = 2y + -2y Combine like terms: 2y + -2y = 0 80 + 7y = 0 Add '-80' to each side of the equation. 80 + -80 + 7y = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 7y = 0 + -80 7y = 0 + -80 Combine like terms: 0 + -80 = -80 7y = -80 Divide each side by '7'. y = -11.42857143 Simplifying y = -11.42857143
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