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Simplifying 7y + -1(9y + -10) = 2(y + 7) + -15y Reorder the terms: 7y + -1(-10 + 9y) = 2(y + 7) + -15y 7y + (-10 * -1 + 9y * -1) = 2(y + 7) + -15y 7y + (10 + -9y) = 2(y + 7) + -15y Reorder the terms: 10 + 7y + -9y = 2(y + 7) + -15y Combine like terms: 7y + -9y = -2y 10 + -2y = 2(y + 7) + -15y Reorder the terms: 10 + -2y = 2(7 + y) + -15y 10 + -2y = (7 * 2 + y * 2) + -15y 10 + -2y = (14 + 2y) + -15y Combine like terms: 2y + -15y = -13y 10 + -2y = 14 + -13y Solving 10 + -2y = 14 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 10 + -2y + 13y = 14 + -13y + 13y Combine like terms: -2y + 13y = 11y 10 + 11y = 14 + -13y + 13y Combine like terms: -13y + 13y = 0 10 + 11y = 14 + 0 10 + 11y = 14 Add '-10' to each side of the equation. 10 + -10 + 11y = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 11y = 14 + -10 11y = 14 + -10 Combine like terms: 14 + -10 = 4 11y = 4 Divide each side by '11'. y = 0.3636363636 Simplifying y = 0.3636363636
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