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Simplifying 5Y + 7 + -3(-4Y + -1) = 2(Y + -4) Reorder the terms: 5Y + 7 + -3(-1 + -4Y) = 2(Y + -4) 5Y + 7 + (-1 * -3 + -4Y * -3) = 2(Y + -4) 5Y + 7 + (3 + 12Y) = 2(Y + -4) Reorder the terms: 7 + 3 + 5Y + 12Y = 2(Y + -4) Combine like terms: 7 + 3 = 10 10 + 5Y + 12Y = 2(Y + -4) Combine like terms: 5Y + 12Y = 17Y 10 + 17Y = 2(Y + -4) Reorder the terms: 10 + 17Y = 2(-4 + Y) 10 + 17Y = (-4 * 2 + Y * 2) 10 + 17Y = (-8 + 2Y) Solving 10 + 17Y = -8 + 2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. 10 + 17Y + -2Y = -8 + 2Y + -2Y Combine like terms: 17Y + -2Y = 15Y 10 + 15Y = -8 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 10 + 15Y = -8 + 0 10 + 15Y = -8 Add '-10' to each side of the equation. 10 + -10 + 15Y = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 15Y = -8 + -10 15Y = -8 + -10 Combine like terms: -8 + -10 = -18 15Y = -18 Divide each side by '15'. Y = -1.2 Simplifying Y = -1.2
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