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Simplifying 7y + -2(y + -9) = 10y + -1(6y + 14) Reorder the terms: 7y + -2(-9 + y) = 10y + -1(6y + 14) 7y + (-9 * -2 + y * -2) = 10y + -1(6y + 14) 7y + (18 + -2y) = 10y + -1(6y + 14) Reorder the terms: 18 + 7y + -2y = 10y + -1(6y + 14) Combine like terms: 7y + -2y = 5y 18 + 5y = 10y + -1(6y + 14) Reorder the terms: 18 + 5y = 10y + -1(14 + 6y) 18 + 5y = 10y + (14 * -1 + 6y * -1) 18 + 5y = 10y + (-14 + -6y) Reorder the terms: 18 + 5y = -14 + 10y + -6y Combine like terms: 10y + -6y = 4y 18 + 5y = -14 + 4y Solving 18 + 5y = -14 + 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. 18 + 5y + -4y = -14 + 4y + -4y Combine like terms: 5y + -4y = 1y 18 + 1y = -14 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + 1y = -14 + 0 18 + 1y = -14 Add '-18' to each side of the equation. 18 + -18 + 1y = -14 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = -14 + -18 1y = -14 + -18 Combine like terms: -14 + -18 = -32 1y = -32 Divide each side by '1'. y = -32 Simplifying y = -32
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