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Simplifying 7y + -2(y + -7) = 11y + -1(7y + 10) Reorder the terms: 7y + -2(-7 + y) = 11y + -1(7y + 10) 7y + (-7 * -2 + y * -2) = 11y + -1(7y + 10) 7y + (14 + -2y) = 11y + -1(7y + 10) Reorder the terms: 14 + 7y + -2y = 11y + -1(7y + 10) Combine like terms: 7y + -2y = 5y 14 + 5y = 11y + -1(7y + 10) Reorder the terms: 14 + 5y = 11y + -1(10 + 7y) 14 + 5y = 11y + (10 * -1 + 7y * -1) 14 + 5y = 11y + (-10 + -7y) Reorder the terms: 14 + 5y = -10 + 11y + -7y Combine like terms: 11y + -7y = 4y 14 + 5y = -10 + 4y Solving 14 + 5y = -10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 14 + 5y + -4y = -10 + 4y + -4y Combine like terms: 5y + -4y = 1y 14 + 1y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 14 + 1y = -10 + 0 14 + 1y = -10 Add '-14' to each side of the equation. 14 + -14 + 1y = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = -10 + -14 1y = -10 + -14 Combine like terms: -10 + -14 = -24 1y = -24 Divide each side by '1'. y = -24 Simplifying y = -24
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