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Simplifying 2(5y + -1) = 3(7 + y) Reorder the terms: 2(-1 + 5y) = 3(7 + y) (-1 * 2 + 5y * 2) = 3(7 + y) (-2 + 10y) = 3(7 + y) -2 + 10y = (7 * 3 + y * 3) -2 + 10y = (21 + 3y) Solving -2 + 10y = 21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -2 + 10y + -3y = 21 + 3y + -3y Combine like terms: 10y + -3y = 7y -2 + 7y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 7y = 21 + 0 -2 + 7y = 21 Add '2' to each side of the equation. -2 + 2 + 7y = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 21 + 2 7y = 21 + 2 Combine like terms: 21 + 2 = 23 7y = 23 Divide each side by '7'. y = 3.285714286 Simplifying y = 3.285714286
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