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Simplifying 10 + 2(5y + -1) = 7(y + 9) Reorder the terms: 10 + 2(-1 + 5y) = 7(y + 9) 10 + (-1 * 2 + 5y * 2) = 7(y + 9) 10 + (-2 + 10y) = 7(y + 9) Combine like terms: 10 + -2 = 8 8 + 10y = 7(y + 9) Reorder the terms: 8 + 10y = 7(9 + y) 8 + 10y = (9 * 7 + y * 7) 8 + 10y = (63 + 7y) Solving 8 + 10y = 63 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 8 + 10y + -7y = 63 + 7y + -7y Combine like terms: 10y + -7y = 3y 8 + 3y = 63 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + 3y = 63 + 0 8 + 3y = 63 Add '-8' to each side of the equation. 8 + -8 + 3y = 63 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 63 + -8 3y = 63 + -8 Combine like terms: 63 + -8 = 55 3y = 55 Divide each side by '3'. y = 18.33333333 Simplifying y = 18.33333333
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