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Simplifying 7y + -1(3y + -1) = 2y + -10 Reorder the terms: 7y + -1(-1 + 3y) = 2y + -10 7y + (-1 * -1 + 3y * -1) = 2y + -10 7y + (1 + -3y) = 2y + -10 Reorder the terms: 1 + 7y + -3y = 2y + -10 Combine like terms: 7y + -3y = 4y 1 + 4y = 2y + -10 Reorder the terms: 1 + 4y = -10 + 2y Solving 1 + 4y = -10 + 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. 1 + 4y + -2y = -10 + 2y + -2y Combine like terms: 4y + -2y = 2y 1 + 2y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 2y = -10 + 0 1 + 2y = -10 Add '-1' to each side of the equation. 1 + -1 + 2y = -10 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = -10 + -1 2y = -10 + -1 Combine like terms: -10 + -1 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5
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