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Simplifying 5[2 + -4(Y + -1)] = 5(2y + 7) Reorder the terms: 5[2 + -4(-1 + Y)] = 5(2y + 7) 5[2 + (-1 * -4 + Y * -4)] = 5(2y + 7) 5[2 + (4 + -4Y)] = 5(2y + 7) Combine like terms: 2 + 4 = 6 5[6 + -4Y] = 5(2y + 7) [6 * 5 + -4Y * 5] = 5(2y + 7) [30 + -20Y] = 5(2y + 7) Reorder the terms: 30 + -20Y = 5(7 + 2y) 30 + -20Y = (7 * 5 + 2y * 5) 30 + -20Y = (35 + 10y) Solving 30 + -20Y = 35 + 10y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -20Y = 35 + -30 + 10y Combine like terms: 30 + -30 = 0 0 + -20Y = 35 + -30 + 10y -20Y = 35 + -30 + 10y Combine like terms: 35 + -30 = 5 -20Y = 5 + 10y Divide each side by '-20'. Y = -0.25 + -0.5y Simplifying Y = -0.25 + -0.5y
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